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6x+4=2x-3-9
Multiply both sides of the equation by 12, the least common multiple of 2,3,12,4.
6x+4=2x-12
Subtract 9 from -3 to get -12.
6x+4-2x=-12
Subtract 2x from both sides.
4x+4=-12
Combine 6x and -2x to get 4x.
4x=-12-4
Subtract 4 from both sides.
4x=-16
Subtract 4 from -12 to get -16.
x=\frac{-16}{4}
Divide both sides by 4.
x=-4
Divide -16 by 4 to get -4.