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5x-7+2x=x-3
Subtract 2 from -5 to get -7.
7x-7=x-3
Combine 5x and 2x to get 7x.
7x-7-x=-3
Subtract x from both sides.
6x-7=-3
Combine 7x and -x to get 6x.
6x=-3+7
Add 7 to both sides.
6x=4
Add -3 and 7 to get 4.
x=\frac{4}{6}
Divide both sides by 6.
x=\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.