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12x-5-7x=0
Subtract 7x from both sides.
5x-5=0
Combine 12x and -7x to get 5x.
5x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{5}
Divide both sides by 5.
x=1
Divide 5 by 5 to get 1.