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2\times 2x-12=3x+6
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x-12=3x+6
Multiply 2 and 2 to get 4.
4x-12-3x=6
Subtract 3x from both sides.
x-12=6
Combine 4x and -3x to get x.
x=6+12
Add 12 to both sides.
x=18
Add 6 and 12 to get 18.