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2x-12=5x+24
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x-12-5x=24
Subtract 5x from both sides.
-3x-12=24
Combine 2x and -5x to get -3x.
-3x=24+12
Add 12 to both sides.
-3x=36
Add 24 and 12 to get 36.
x=\frac{36}{-3}
Divide both sides by -3.
x=-12
Divide 36 by -3 to get -12.