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5x-3x-\left(-5\right)=15
To find the opposite of 3x-5, find the opposite of each term.
5x-3x+5=15
The opposite of -5 is 5.
2x+5=15
Combine 5x and -3x to get 2x.
2x=15-5
Subtract 5 from both sides.
2x=10
Subtract 5 from 15 to get 10.
x=\frac{10}{2}
Divide both sides by 2.
x=5
Divide 10 by 2 to get 5.