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x\times 60=\left(x+15\right)\times 40
Variable x cannot be equal to any of the values -15,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+15\right), the least common multiple of x+15,x.
x\times 60=40x+600
Use the distributive property to multiply x+15 by 40.
x\times 60-40x=600
Subtract 40x from both sides.
20x=600
Combine x\times 60 and -40x to get 20x.
x=\frac{600}{20}
Divide both sides by 20.
x=30
Divide 600 by 20 to get 30.