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5x+2-3x=12
Subtract 3x from both sides.
2x+2=12
Combine 5x and -3x to get 2x.
2x=12-2
Subtract 2 from both sides.
2x=10
Subtract 2 from 12 to get 10.
x=\frac{10}{2}
Divide both sides by 2.
x=5
Divide 10 by 2 to get 5.