Solve for x
x=-\frac{13}{127}\approx -0.102362205
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120x-4\left(2x+3\right)=5\left(x-5\right)-20x
Multiply both sides of the equation by 20, the least common multiple of 5,4.
120x-8x-12=5\left(x-5\right)-20x
Use the distributive property to multiply -4 by 2x+3.
112x-12=5\left(x-5\right)-20x
Combine 120x and -8x to get 112x.
112x-12=5x-25-20x
Use the distributive property to multiply 5 by x-5.
112x-12=-15x-25
Combine 5x and -20x to get -15x.
112x-12+15x=-25
Add 15x to both sides.
127x-12=-25
Combine 112x and 15x to get 127x.
127x=-25+12
Add 12 to both sides.
127x=-13
Add -25 and 12 to get -13.
x=\frac{-13}{127}
Divide both sides by 127.
x=-\frac{13}{127}
Fraction \frac{-13}{127} can be rewritten as -\frac{13}{127} by extracting the negative sign.
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