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8\left(20-16x\right)=5\times 20
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 40x, the least common multiple of 5x,8x.
160-128x=5\times 20
Use the distributive property to multiply 8 by 20-16x.
160-128x=100
Multiply 5 and 20 to get 100.
-128x=100-160
Subtract 160 from both sides.
-128x=-60
Subtract 160 from 100 to get -60.
x=\frac{-60}{-128}
Divide both sides by -128.
x=\frac{15}{32}
Reduce the fraction \frac{-60}{-128} to lowest terms by extracting and canceling out -4.