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2x=3\left(x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x=3x-6
Use the distributive property to multiply 3 by x-2.
2x-3x=-6
Subtract 3x from both sides.
-x=-6
Combine 2x and -3x to get -x.
x=6
Multiply both sides by -1.