Solve for x
x=15
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\left(x+5\right)\times 150=x\times 200
Variable x cannot be equal to any of the values -5,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+5\right), the least common multiple of x,x+5.
150x+750=x\times 200
Use the distributive property to multiply x+5 by 150.
150x+750-x\times 200=0
Subtract x\times 200 from both sides.
-50x+750=0
Combine 150x and -x\times 200 to get -50x.
-50x=-750
Subtract 750 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-750}{-50}
Divide both sides by -50.
x=15
Divide -750 by -50 to get 15.
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