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3\left(x+2\right)=2x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+6=2x
Use the distributive property to multiply 3 by x+2.
3x+6-2x=0
Subtract 2x from both sides.
x+6=0
Combine 3x and -2x to get x.
x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.