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5x-60=3x
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-60-3x=0
Subtract 3x from both sides.
2x-60=0
Combine 5x and -3x to get 2x.
2x=60
Add 60 to both sides. Anything plus zero gives itself.
x=\frac{60}{2}
Divide both sides by 2.
x=30
Divide 60 by 2 to get 30.