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x=15\left(40-x\right)
Multiply both sides of the equation by 15.
x=600-15x
Use the distributive property to multiply 15 by 40-x.
x+15x=600
Add 15x to both sides.
16x=600
Combine x and 15x to get 16x.
x=\frac{600}{16}
Divide both sides by 16.
x=\frac{75}{2}
Reduce the fraction \frac{600}{16} to lowest terms by extracting and canceling out 8.