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17=6x+2-x
Use the distributive property to multiply 2 by 3x+1.
17=5x+2
Combine 6x and -x to get 5x.
5x+2=17
Swap sides so that all variable terms are on the left hand side.
5x=17-2
Subtract 2 from both sides.
5x=15
Subtract 2 from 17 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.