Solve for x
x = \frac{315}{2} = 157\frac{1}{2} = 157.5
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Linear Equation
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\frac { 3600 } { x } - 20 = \frac { 3600 } { 1 \cdot 8 x }
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8\times 3600+8x\left(-20\right)=3600
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,1\times 8x.
28800+8x\left(-20\right)=3600
Multiply 8 and 3600 to get 28800.
28800-160x=3600
Multiply 8 and -20 to get -160.
-160x=3600-28800
Subtract 28800 from both sides.
-160x=-25200
Subtract 28800 from 3600 to get -25200.
x=\frac{-25200}{-160}
Divide both sides by -160.
x=\frac{315}{2}
Reduce the fraction \frac{-25200}{-160} to lowest terms by extracting and canceling out -80.
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