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x+6=2x-8
Multiply both sides of the equation by 2.
x+6-2x=-8
Subtract 2x from both sides.
-x+6=-8
Combine x and -2x to get -x.
-x=-8-6
Subtract 6 from both sides.
-x=-14
Subtract 6 from -8 to get -14.
x=14
Multiply both sides by -1.