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5x=2-x-\left(-7\right)
To find the opposite of x-7, find the opposite of each term.
5x=2-x+7
The opposite of -7 is 7.
5x=9-x
Add 2 and 7 to get 9.
5x+x=9
Add x to both sides.
6x=9
Combine 5x and x to get 6x.
x=\frac{9}{6}
Divide both sides by 6.
x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.