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5x+2-3x=17
Subtract 3x from both sides.
2x+2=17
Combine 5x and -3x to get 2x.
2x=17-2
Subtract 2 from both sides.
2x=15
Subtract 2 from 17 to get 15.
x=\frac{15}{2}
Divide both sides by 2.