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Câu 1:
a: =>-2x-x+17=34+x-25
=>-3x+17=x+9
=>-4x=-8
hay x=2
b: =>17x+16x+27=2x+43
=>33x+27=2x+43
=>31x=16
hay x=16/31
c: =>-2x-3x+51=34+2x-50
=>-5x+51=2x-16
=>-7x=-67
hay x=67/7
e: 3x-32>-5x+1
=>8x>33
hay x>33/8
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135
a) 17-(2x-11) = 12-3x
2x-11 = 17-12+3x
2x-11 = 5+3x
2x-3x = 5+11
-x = 16
x = -16
b, |2x-3|=7
=>2x-3=7 hoặc 2x-3=-7
=>2x=10 hoặc 2x=-4
=>x=5 hoặc x=-2
c, (2x-1)4 = 16
(2x-1)4 = 24
2x-1=2
2x=3
x=3/2
d, (17-2x)3 = -125
(17-2x)3 = (-5)3
17-2x=-5
2x=17-(-5)
2x=22
x=11
a, => 17-2x+11 = 12-3x
=> 28-2x=12-3x
=> 28=12-3x+2x = 12-x
=> x=12-28 = -16
b, => 2x-3=7 hoặc 2x-3=-7
=> x=5 hoặc x=-2
c, => 2x-1=2 hoặc 2x-1=-2
=> x=3/2 hoặc x=-1.2
d, => 17-2x=-5
=> 2x=17-(-5) = 22
=> x=22:2 = 11
Tk mk nha
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
a) \(58+7x=100\)
\(=>7x=100-58\)
\(=>7x=42\)
\(=>x=42:7\)
\(=>x=6\)
b) \(3x-7=28\)
\(=>3x=28+7\)
\(=>3x=35\)
\(=>x=35:3\)
\(=>x=\dfrac{35}{3}\)
c) \(x-56:4=16\)
\(=>x-14=16\)
\(=>x=16+14\)
\(=>x=30\)
d) \(101+\left(36-4x\right)=105\)
\(=>36-4x=105-101\)
\(=>36-4x=4\)
\(=>4x=36-4\)
\(=>4x=32\)
\(=>x=32:4\)
\(=>x=8\)
e) \(\left(x-12\right):12=12\)
\(=>x-12=12.12\)
\(=>x-12=144\)
\(=>x=144-12\)
\(=>x=132\)
f) \(\left(3x-2^4\right).7^3=2.7^4\)
\(=>3x-2^4=2.7^4:7^3\)
\(=>3x-16=2.7=14\)
\(=>3x=14+16\)
\(=>3x=30\)
\(=>x=30:3\)
\(=>x=10\)
i) \(\left(10+2x\right).4^{2011}=4^{2013}\)
\(=>10+2x=4^{2013}:4^{2011}\)
\(=>10+2x=4^2=16\)
\(=>2x=16-10\)
\(=>2x=6\)
\(=>x=6:2\)
\(=>x=3\)
\(#WendyDang\)
Lời giải:
a. $15-(-2x)=22+3x$
$15+2x=22+3x$
$15-22=3x-2x$
$-7=x$
b.
$5(17-3x)+24=4$
$5(17-3x)=4-24=-20$
$17-3x=-20:5=-4$
$3x=17-(-4)=21$
$x=21:3=7$
c.
$42:(x^2+5)=3$
$x^2+5=42:3=14$
$x^2=14-5=9=3^2=(-3)^2$
$\Rightarrow x=3$ hoặc $x=-3$
d.
$73-3x^2=5^6:(-5)^4=(-5)^6:(-5)^4=(-5)^2=25$
$3x^2=73-25=48$
$x^2=48:3=16=4^2=(-4)^2$
$\Rightarrow x=4$ hoặc $x=-4$
`100-( x+17)=73`
`x+17 = 100-73 = 27`
`x = 27-17 =10`
Vậy `x=10`
`125-3(x-3) =14`
`3(x-3) =125-14 = 111`
`x-3 =111/3 =37`
`x=37+3=40`
Vậy `x=40`
`2^x +2^(x+1) =24`
`2^x *(1+2^1 ) =24`
`2^x *3 = 24`
`2^x = 8`
`2^x =2^3`
`=> x=3`
Vậy `x=3`
a. 100 - ( x +17 ) = 73
x + 17 = 100 - 73
x + 17 = 27
x. = 27 - 17
x. = 10