Solve for x
x=60
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\left(x+30\right)\times 80=x\left(200-80\right)
Variable x cannot be equal to any of the values -30,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+30\right), the least common multiple of x,x+30.
80x+2400=x\left(200-80\right)
Use the distributive property to multiply x+30 by 80.
80x+2400=x\times 120
Subtract 80 from 200 to get 120.
80x+2400-x\times 120=0
Subtract x\times 120 from both sides.
-40x+2400=0
Combine 80x and -x\times 120 to get -40x.
-40x=-2400
Subtract 2400 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2400}{-40}
Divide both sides by -40.
x=60
Divide -2400 by -40 to get 60.
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