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7x-5+5x=13
Add 5x to both sides.
12x-5=13
Combine 7x and 5x to get 12x.
12x=13+5
Add 5 to both sides.
12x=18
Add 13 and 5 to get 18.
x=\frac{18}{12}
Divide both sides by 12.
x=\frac{3}{2}
Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.