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-12x+100=5x+15
Multiply both sides of the equation by 20, the least common multiple of 5,4.
-12x+100-5x=15
Subtract 5x from both sides.
-17x+100=15
Combine -12x and -5x to get -17x.
-17x=15-100
Subtract 100 from both sides.
-17x=-85
Subtract 100 from 15 to get -85.
x=\frac{-85}{-17}
Divide both sides by -17.
x=5
Divide -85 by -17 to get 5.