Solve for x
x=18
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\left(x-30\right)\times 180=-x\times 120
Variable x cannot be equal to any of the values 0,30 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,30-x.
180x-5400=-x\times 120
Use the distributive property to multiply x-30 by 180.
180x-5400=-120x
Multiply -1 and 120 to get -120.
180x-5400+120x=0
Add 120x to both sides.
300x-5400=0
Combine 180x and 120x to get 300x.
300x=5400
Add 5400 to both sides. Anything plus zero gives itself.
x=\frac{5400}{300}
Divide both sides by 300.
x=18
Divide 5400 by 300 to get 18.
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