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15-7-\left(-5x\right)=2x+5-3x
To find the opposite of 7-5x, find the opposite of each term.
15-7+5x=2x+5-3x
The opposite of -5x is 5x.
8+5x=2x+5-3x
Subtract 7 from 15 to get 8.
8+5x=-x+5
Combine 2x and -3x to get -x.
8+5x+x=5
Add x to both sides.
8+6x=5
Combine 5x and x to get 6x.
6x=5-8
Subtract 8 from both sides.
6x=-3
Subtract 8 from 5 to get -3.
x=\frac{-3}{6}
Divide both sides by 6.
x=-\frac{1}{2}
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.