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a, x+15=20-4x
=> x + 4x = 20 - 15
=> 5x = 5
=> x = 5 : 5
=> x = 1
b, 17-x=7-6x
=> -x + 6x = 7 - 17
=> 5x = - 10
=> x = -10 : 5
=> x = -2
c, 4.(x-5)-3.(x+7)= -19
=> 4x - 4.5 - 3.x + 3.7 = -19
=> 4x - 20 - 3x + 21 = -19
=> (4x-3x) + (21-20) = -19
=> 1x + 1 = -19
=> x = -19 - 1
=> x = -18
d, -7.(5-x)-2.(x-10)=15
=> -7x - (-7).5 - 2x - 2.10 = 15
=> -7x - (-35) - 2x - 20 = 15
=> -7x + 35 - 2x - 20 = 15
=> -7x+2x + (35-20) = 15
=> -5x + 15 = 15
=> -5x = 15 - 15
=> -5x = 0
=> x = 0 : (-5)
=> x = 0
e, -5.(2-x)+4.(x-3) = 10.x-15
=> -5x - (-5).2 + 4x - 4.3 = 10x - 15
=> -5x - (-10) + 4x - 12 = 10x - 15
=> -5x + 10 + 4x - 12 = 10x - 15
=> (-5x+4x) - (12-10) = 10x - 15
=> -1x - 2 = 10x - 15
=> -1x - 10x = -15 + 2
=> -11x = -13
=> x = \(\frac{-13}{-11}\)
Đặt \(A=\frac{1.2+2.4+3.6+4.8+5.10}{4+6.8+9.12+12.16+15.20}\)
\(\Rightarrow A=\frac{1.\left(1+2\right)+2.\left(1+2\right)+3.\left(1+2\right)+4.\left(1+2\right)+5.\left(1+2\right)}{4+2.\left(3+4\right)+3.\left(3+4\right)+4.\left(3+4\right)+5.\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+2+3+4+5\right).\left(1+2\right)}{4+\left(2+3+4+5\right).\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+5\right).5:2.\left(1+2\right)}{4+\left(2+5\right).4:2.\left(3+4\right)}\)
\(\Rightarrow A=\frac{6.5:2.3}{4+7.4:2.7}=\frac{45}{4+98}=\frac{45}{102}=\frac{15}{34}\)
Vậy \(A=\frac{15}{34}\)
Chúc bn học tốt
1) 3x - 6= 5x + 2
5x - 3x = -6 - 2
2x = -8
x = -4
2) 15 - x = 4x - 5
4x + x = 15 + 5
5x = 20
x = 4
Tương tự như trên
\(a,\frac{x}{6}=\frac{5}{24}\)
\(\Rightarrow\frac{4x}{24}=\frac{5}{24}\)
\(\Rightarrow4x=5\)
\(\Rightarrow x=\frac{5}{4}\)
\(b,\frac{-4}{x}=\frac{20}{14}\)
\(\Rightarrow\left(-4\right).14=20.x\)
\(\Rightarrow-56=20x\)
\(\Rightarrow x=-56\div20\)
\(\Rightarrow x=\frac{-14}{5}\)
\(c,\frac{4}{7}=\frac{12}{x}\)
\(\Rightarrow4.x=12.7\)
\(\Rightarrow4x=84\)
\(\Rightarrow x=84\div4\)
\(\Rightarrow x=21\)
\(d,\frac{3}{7}=\frac{x}{21}\)
\(\Rightarrow3.21=7.x\)
\(\Rightarrow63=7x\)
\(\Rightarrow x=63\div7\)
\(\Rightarrow x=9\)
\(8x-48+4x-12-14=-x+4\)
\(\Leftrightarrow12x-75=-x+4\Leftrightarrow13x=79\Leftrightarrow x=\dfrac{79}{13}\)
\(-7\left(8-x\right)-6\left(x+9\right)=20-x\Leftrightarrow-56+7x-6x-54=20-x\)
\(\Leftrightarrow2x=130\Leftrightarrow x=65\)
\(9x-63-80+60x=-7x+15\Leftrightarrow76x=158\Leftrightarrow x=\dfrac{79}{38}\)
\(-96-16x-60+30x=-40x-16\Leftrightarrow54x=140\Leftrightarrow x=\dfrac{70}{27}\)
\(17x-102-14x-28=4x-24-2x+4\Leftrightarrow x=110\)
\(a,\frac{13}{20}+x=\frac{11}{15}\)
\(x=\frac{11}{15}-\frac{13}{20}\)
\(x=\frac{1}{12}\)
\(b,x+\frac{7}{12}=-\frac{5}{6}\)
\(x=-\frac{5}{6}-\frac{7}{12}\)
\(x=-\frac{17}{12}\)
\(c,\frac{4}{7}x=\frac{9}{8}-0,125\)
\(\frac{4}{7}x=1\)
\(x=1\div\frac{4}{7}\)
\(x=\frac{7}{4}\)
\(\left(d\right)5,5x=\frac{13}{15}\)
\(\frac{11}{2}x=\frac{13}{15}\)
\(x=\frac{13}{15}\div\frac{11}{2}\)
\(x=\frac{26}{165}\)
\(e,x\div\frac{2}{3}=\frac{13}{15}\)
\(x=\frac{2}{3}\times\frac{13}{15}\)
\(x=\frac{26}{45}\)
\(f,-\frac{1}{2}\div\left(x-\frac{1}{3}\right)=-\frac{3}{4}\)
\(x-\frac{1}{3}=-\frac{1}{2}\div-\frac{3}{4}\)
\(x-\frac{1}{3}=\frac{2}{3}\)
\(x=\frac{1}{3}+\frac{2}{3}\)
\(x=1\)
a, \(x\) + 99: 3 = 55
\(x\) + 33 = 55
\(x\) = 55 - 33
\(x\) = 22
b, (\(x\) - 25):15 = 20
\(x\) - 25 = 20 x 15
\(x\) - 25 = 300
\(x\) = 300 + 25
\(x\) = 325
c, (3\(x\) - 15).7 = 42
3\(x\) - 15 = 42:7
3\(x\) - 15 = 6
3\(x\) = 6 + 15
3\(x\) = 21
\(x\) = 21: 3
\(x\) = 7
Bài 1 :
a, 25 + (-42) = - ( 42 - 25 ) = - 17
b, (-17) + 5 + 8 + 17 + (-3 )
= [ (-17) + 17 ] + [ ( 5 + 8 ) + (-3) ]
= 0 + 10
= 10
c, 25. 22 - ( 15-18 ) + ( 12 - 19 + 10 )
= 25 . 4 - (-3) + 3
= 100 - [ (-3) + 3 ]
= 100 - 0
= 100
d, 120 - 35 + 29 - 242
= 85 + 29 - 242
= 114 - 242
= -128
A, | x + 6 |=(-7)+20
->| x + 6 | = 13
TH1: x + 6 =13
-> x=13-6
-> x=7
TH2: x + 6 = (-13)
-> x= (-13) - 6
-> x = -19.
Làm ttừng câu nhé bạn
B, | 4 - x | = (-6) + 15
-> | 4 - x | = 9
TH1: 4 - x = 9
-> x =-5
TH2: 4 - x = -9
-> x =13
C, |x-8|=(-4)+20
-> |x-8|=16
TH1: x - 8 =16
-> x=24
TH2: x - 8 =-16
-> x =-8