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5x-2-3x=0
Subtract 3x from both sides.
2x-2=0
Combine 5x and -3x to get 2x.
2x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{2}
Divide both sides by 2.
x=1
Divide 2 by 2 to get 1.