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2x+3x=6x-6
Multiply both sides of the equation by 6, the least common multiple of 3,2.
5x=6x-6
Combine 2x and 3x to get 5x.
5x-6x=-6
Subtract 6x from both sides.
-x=-6
Combine 5x and -6x to get -x.
x=6
Multiply both sides by -1.