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\(2\left(x-5\right)+3\left(2-3x\right)=5x+7\)
\(\Leftrightarrow2x-10+6-9x=5x+7\)
\(\Leftrightarrow\left(2x-9x\right)+\left(6-10\right)=5x+7\)
\(\Leftrightarrow-7x-4=5x+7\)
\(\Leftrightarrow-7x-5x=4+7\)
\(\Leftrightarrow-12x=11\)
\(\Leftrightarrow x=\frac{-11}{12}\)
\(3x-5\left(x-2\right)+7=4x-12\)
\(\Leftrightarrow3x-5x-10+7=4x-12\)
\(\Leftrightarrow\left(3x-5x\right)-\left(10-7\right)=4x-12\)
\(\Leftrightarrow-2x-3=4x-12\)
\(\Leftrightarrow-2x-4x=3-12\)
\(\Leftrightarrow-6x=-15\)
\(\Leftrightarrow x=\frac{-15}{-6}=\frac{5}{2}\)
a) 7^2.5-(2x+1)=630:9
b) (10-4x)+120:2^3=17
c) [124-(20-4X)]:30+7=11
d) |2x-5|=1
nhớ ghi đầy đủ bước nhá
\(a\)\(.\)\(7^2.5-\left(2x+1\right)=630:9\)
\(49.5-\left(2x+1\right)=70\)
\(245-\left(2x+1\right)=70\)
\(2x+1=245-70\)
\(2x+1=175\)
\(2x=175-1\)
\(2x=174\)
\(x=174:2\)
\(x=87\)
Vậy \(x=87\)
\(b.\)\(\left(10-4x\right)+120:2^3=17\)
\(\left(10-4x\right)+120:8=17\)
\(\left(10-4x\right)+15=17\)
\(10-4x=17-15\)
\(10-4x=2\)
\(4x=10-2\)
\(4x=8\)
\(x=8:4\)
\(x=2\)
Vậy \(x=2\)
\(c.\)\(\left[124-\left(20-4x\right)\right]:30+7=11\)
\(\left[124-\left(20-4x\right)\right]:30=11-7\)
\(\left[124-\left(20-4x\right)\right]:30=4\)
\(\left[124-\left(20-4x\right)\right]=4.30\)
\(\left[124-\left(20-4x\right)\right]=120\)
\(124-20+4x=120\)
\(104+4x=120\)
\(4x=120-104\)
\(4x=16\)
\(x=16:4\)
\(x=4\)
Vậy \(x=4\)
\(d.\)\(\left|2x+5\right|=1\)
\(\Rightarrow2x+5\in\left\{-1;1\right\}\)
\(\Rightarrow2x\in\left\{-6;-4\right\}\)
\(\Rightarrow x\in\left\{-3;-2\right\}\)
Vậy \(x\in\left\{-3;-2\right\}\)
học tốt
a) \(7^2\cdot5-\left(2x+1\right)=630:9\)
\(\Leftrightarrow49\cdot5-2x-1=70\)
\(\Leftrightarrow244-2x=70\)
\(\Leftrightarrow2x=244-70\)
\(\Leftrightarrow2x=174\)
\(\Leftrightarrow x=87\)
Vậy x=87.
b) \(\left(10-4x\right)+120:2^3=17\)
\(\Leftrightarrow10-4x+120:8=17\)
\(\Leftrightarrow10-4x+15=17\)
\(\Leftrightarrow25-4x=17\)
\(\Leftrightarrow4x=25-17=8\)
\(\Leftrightarrow x=2\)
Vậy x=2
c)\([124-\left(20-4x\right)]:30+7=11\)
\(\Leftrightarrow\left(124-20+4x\right):30=4\)
\(\Leftrightarrow104+4x=120\)
\(\Leftrightarrow4x=120-104=16\)
\(\Leftrightarrow x=4\)
Vậy x=4
d) \(|2x-5|=1\)
\(\Leftrightarrow\orbr{\begin{cases}2x-5=1\\2x-5=-1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=6\\2x=4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=2\end{cases}}\)
Vậy \(x\in\text{ }\left\{3;2\right\}\)
a/ (3x -12 ):8+10=13
<=>(3x-12):8=3
<=>3x-12=24
<=>3x=36
<=>x=12
b/(x+5)x8-20=60
<=>(x+5)x8=80
<=>x+5=80:8
<=>x+5=10
x=5
c/3x[35+(x-10)]-375=0
<=>3x[35+(x-10)]=375
<=>35+(x+10)=125
<=>x+10=90
x=80
d/(158x+173-24):35=81
<=>158x+173-24=2835
<=>158x+173=2859
<=>158x=2686
<=>x=17
e/x-140:35=0
<=>x-140=0
<=>x=140+0
x=140
a) \(-65-\left(x+15\right)+105=0\)
\(-65-\left(x+15\right)=-105\)
\(x+15=-65-\left(-105\right)\)
\(x+15=40\)
\(x=25\)
b) |-6| + (-9) - (x+1) = 7
-3- (x+1) =7
x+1 = -10
x = -11
c)\(\left|5-x\right|+\left(-25+7\right)=-3-\left(-10\right)\)
\(\left|5-x\right|+\left(-18\right)=7\)
\(\left|5-x\right|=25\)
\(\Rightarrow\orbr{\begin{cases}5-x=25\\5-x=-25\end{cases}\Rightarrow\orbr{\begin{cases}x=-20\\x=30\end{cases}}}\)
d) \(28-\left|x+6\right|+\left(-2\right)=0\)
\(28-\left|x+6\right|=2\)
\(\left|x+6\right|=26\)
\(\Rightarrow\orbr{\begin{cases}x+6=26\\x+6=-26\end{cases}\Rightarrow\orbr{\begin{cases}x=20\\x=-32\end{cases}}}\)
e) \(x-\left(13-15\right)=5+\left(10-x\right)-\left(-1\right)\)
\(x+2=5+10-x+1\)
\(x+2=16-x\)
\(x+x=16-2\)
\(2x=14\)
\(x=7\)
f) \(-120-\left(x-5\right)=125\)
\(x-5=-120-125\)
\(x-5=-245\)
\(x=-240\)
g) \(10-\left(-5+2\right)+\left(-9\right)=\left(-20+7\right)-x\)
\(-16=-13-x\)
\(x=-13+16\)
\(x=3\)
a) -(-x)+14=12
x+14=12
x=12-14
x=-2
Vậy x=-2
b) x+20=-(-23)
x+20=23
x=23-20
x=3
Vậy x=3
c) 15-x+17=-(-6)+|-12|
15-x+17=6+12
15-x+17=18
15-x=18-17
15-x=1
x=15-1
x=14
Vậy x=14
d) |x|=5
=>x thuộc {-5;5}
Vậy x thuộc {-5;5}
e) |x-3|=1
=>x-3 thuộc {1;-1}
vậy ta sẽ xét 2 TH:
TH1:x-3=1
x=1+3
x=4
TH2:x-3=-1
x=-1+3
x=2
Vậy x thuộc {2;4}
f) |x+2|=4
=>x+2 thuộc {4;-4}
vậy ta sẽ xét 2 TH:
TH1:x+2=4
x=4-2
x=2
TH2:x+2=-4
x=-4-2
x=6
Vậy x thuộc {2;6}
a, -(-x)+14=12
=>x+14=12
x=12-14
x=-2
b,x+20=-(-23)
x+20=23
x=23-20
x=3
c,15-x+17=-(-6)+\(|-12|\)
15-x+17=6+12
32-x=18
x=32-18
x=14
d,\(|x|=5\)
\(TH1:x=5\)
\(TH2:x=-5\)
e,\(|x-3|=1\)
\(TH1:x-3=1\)
\(x=1+3\)
\(x=4\)
\(TH2:x-3=-1\)
\(x=-1+3\)
\(x=2\)
f,\(|x+2|=4\)
\(TH1:x+2=4\)
\(x=4-2\)
\(x=2\)
\(TH2:x+2=-4\)
\(x=-4-2\)
\(x=-6\)
#CHÚC_CẬU_HỌC_TỐT_NHÉ!
a) (426 + x) : 5 = 120
(=) 426 + x = 120 :5
(=) 426 + x = 24
(=) x = 24 - 426
(=) x = - 402
Vậy x = - 402
b) 5844 : x -159 = 328
(=) 5844 : x = 328+ 159
(=) 5844 : x = 487
(=) x = 5844 : 487
(=) x = 12
Vậy x = 12
c) 32x + 1 = 27
(=) 32x = 27 -1
(=) 32x = 26
=> vô lý
vậy x thuộc tập hợp rỗng
d) (3x - 1)2 = 64
(=) (3x - 1)2 = 82
(=) 3x - 1 = 8
(=) 3x = 8 + 1
(=) 3x = 9
(=) x = 9 : 3
(=) x = 3
Vậy x = 3
( 426 + x ) : 5 = 120
( 426 + x ) = 600
x = 600 - 426
x = 174
b ) 5844 : x - 159 = 328
5844 : x = 328 + 159
5844 : x = 487
x = 5844 : 487
x = 12
d ) ( 3x - 1 ) 2 = 64
( 3x - 1 ) = 8
3x = 9
x = 3
a)
5.(12-x)-20=30
⇒60-5x-20=30
⇒-5x=30+20-60
⇒-5x=-10
⇒x=2
b)(17x - 25 ) : 8 + 65 = 92
(17x - 25 ) : 8 + 65 = 81
17x - 25 = 16 x 8 = 128
17x = 128+25=153
x= 153:17 =9
c)
x=23
Giải thích các bước giải:
3x – 10 = 2x + 13
3x-2x=13+10
x=23
d)4(2x+7)-3(3x-2)=24
4.2x+4.7-3.3x+3.2=24
8x+28-9x+6=24
8x-9x=24-28-6=-10
=>(-1)x=-10
x=-10:(-1)
x=10
a. \(5\cdot\left(12-x\right)-20=30\Leftrightarrow5\left(12-x\right)=50\)
\(\Leftrightarrow12-x=50:5=10\)
\(\Leftrightarrow x=12-10=2\)
b. \(\left(17x-25\right):8+65=9^2\)
\(\Leftrightarrow\left(17x-25\right):8=81-65=16\)
\(\Leftrightarrow17x-25=16:8=2\)
\(\Leftrightarrow17x=2+25=27\Leftrightarrow x=\frac{27}{17}\)
c. \(3x-10=2x+13\)
\(\Leftrightarrow3x-2x=10+13\)
\(\Leftrightarrow x=23\)
d. \(4\cdot\left(2x+7\right)-3\cdot\left(3x-2\right)=24\)
\(\Leftrightarrow8x+28-9x+6=24\)
\(\Leftrightarrow34-x=24\Leftrightarrow x=10\)
Bài 8
a)3x-5=-7-13
=>3x-5=-20
=>3x=-20+5
=>3x=-15
=>x=(-15):3
=>x=-5
Vậy x=-5
b)|x|-10=-3
=>|x|=-3+10
=>|x|=-7
=>x=7 hoặc x=-7
Vậy....
a) x + (-5) = -(-7)
x - 5 = 7
x = 7 + 5
x =12
b) x - 8 = (-10)
x = (-10) + 8
x = -2
c) 2x + 20 = -22
2x = -22 - 20
2x = (-22) + (-20)
2x = -42
x = -42 : 2
x = -21
d) -(-30) - (-x) = 13
30 + x = 13
x = 13 - 30
x =13 + (-30)
x = -17
X CHO MK NHA
a) x+(-5)=-(-7)
x - 5 = 7
x = 7+5
x=12
b) x-8=-10
x = -10 +8
x=-2
c) 2x+20=-22
2x=-22-20
2x=-42
x=-42:2
x=-21
d) -(-30)-(-x)=13
30 +x=13
x=13-30
x=-17
Chúc bạn học tốt!