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3x+6=2\times 2x-18
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+6=4x-18
Multiply 2 and 2 to get 4.
3x+6-4x=-18
Subtract 4x from both sides.
-x+6=-18
Combine 3x and -4x to get -x.
-x=-18-6
Subtract 6 from both sides.
-x=-24
Subtract 6 from -18 to get -24.
x=24
Multiply both sides by -1.