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3x-2-\left(x+2\right)=9
Multiply both sides of the equation by 3.
3x-2-x-2=9
To find the opposite of x+2, find the opposite of each term.
2x-2-2=9
Combine 3x and -x to get 2x.
2x-4=9
Subtract 2 from -2 to get -4.
2x=9+4
Add 4 to both sides.
2x=13
Add 9 and 4 to get 13.
x=\frac{13}{2}
Divide both sides by 2.