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