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\left(x+60\right)\times 120=200x
Variable x cannot be equal to -60 since division by zero is not defined. Multiply both sides of the equation by 200\left(x+60\right), the least common multiple of 200,x+60.
120x+7200=200x
Use the distributive property to multiply x+60 by 120.
120x+7200-200x=0
Subtract 200x from both sides.
-80x+7200=0
Combine 120x and -200x to get -80x.
-80x=-7200
Subtract 7200 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-7200}{-80}
Divide both sides by -80.
x=90
Divide -7200 by -80 to get 90.