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3x+6=8x-4
Multiply both sides of the equation by 4, the least common multiple of 4,2.
3x+6-8x=-4
Subtract 8x from both sides.
-5x+6=-4
Combine 3x and -8x to get -5x.
-5x=-4-6
Subtract 6 from both sides.
-5x=-10
Subtract 6 from -4 to get -10.
x=\frac{-10}{-5}
Divide both sides by -5.
x=2
Divide -10 by -5 to get 2.