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3x+2=2\left(3-x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+2=6-2x
Use the distributive property to multiply 2 by 3-x.
3x+2+2x=6
Add 2x to both sides.
5x+2=6
Combine 3x and 2x to get 5x.
5x=6-2
Subtract 2 from both sides.
5x=4
Subtract 2 from 6 to get 4.
x=\frac{4}{5}
Divide both sides by 5.