Solve for x
x=20
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\left(x-35\right)\times 160=-x\times 120
Variable x cannot be equal to any of the values 0,35 since division by zero is not defined. Multiply both sides of the equation by x\left(x-35\right), the least common multiple of x,35-x.
160x-5600=-x\times 120
Use the distributive property to multiply x-35 by 160.
160x-5600=-120x
Multiply -1 and 120 to get -120.
160x-5600+120x=0
Add 120x to both sides.
280x-5600=0
Combine 160x and 120x to get 280x.
280x=5600
Add 5600 to both sides. Anything plus zero gives itself.
x=\frac{5600}{280}
Divide both sides by 280.
x=20
Divide 5600 by 280 to get 20.
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