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2x-6=3x+6
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-6-3x=6
Subtract 3x from both sides.
-x-6=6
Combine 2x and -3x to get -x.
-x=6+6
Add 6 to both sides.
-x=12
Add 6 and 6 to get 12.
x=-12
Multiply both sides by -1.