Solve for x
x = -\frac{45}{8} = -5\frac{5}{8} = -5.625
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20\left(2x+3\right)=8x-120
Multiply both sides of the equation by 4.
40x+60=8x-120
Use the distributive property to multiply 20 by 2x+3.
40x+60-8x=-120
Subtract 8x from both sides.
32x+60=-120
Combine 40x and -8x to get 32x.
32x=-120-60
Subtract 60 from both sides.
32x=-180
Subtract 60 from -120 to get -180.
x=\frac{-180}{32}
Divide both sides by 32.
x=-\frac{45}{8}
Reduce the fraction \frac{-180}{32} to lowest terms by extracting and canceling out 4.
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