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4\times 40x=25\left(36-x\right)
Multiply both sides of the equation by 8, the least common multiple of 2,8.
160x=25\left(36-x\right)
Multiply 4 and 40 to get 160.
160x=900-25x
Use the distributive property to multiply 25 by 36-x.
160x+25x=900
Add 25x to both sides.
185x=900
Combine 160x and 25x to get 185x.
x=\frac{900}{185}
Divide both sides by 185.
x=\frac{180}{37}
Reduce the fraction \frac{900}{185} to lowest terms by extracting and canceling out 5.