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4\times 2x-24=3\times 3x-8
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x-24=3\times 3x-8
Multiply 4 and 2 to get 8.
8x-24=9x-8
Multiply 3 and 3 to get 9.
8x-24-9x=-8
Subtract 9x from both sides.
-x-24=-8
Combine 8x and -9x to get -x.
-x=-8+24
Add 24 to both sides.
-x=16
Add -8 and 24 to get 16.
x=-16
Multiply both sides by -1.