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5x+6=6x-2
Multiply both sides of the equation by 6, the least common multiple of 6,3.
5x+6-6x=-2
Subtract 6x from both sides.
-x+6=-2
Combine 5x and -6x to get -x.
-x=-2-6
Subtract 6 from both sides.
-x=-8
Subtract 6 from -2 to get -8.
x=8
Multiply both sides by -1.