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4\times 2x-84=-3x+18
Multiply both sides of the equation by 12, the least common multiple of 3,4,2.
8x-84=-3x+18
Multiply 4 and 2 to get 8.
8x-84+3x=18
Add 3x to both sides.
11x-84=18
Combine 8x and 3x to get 11x.
11x=18+84
Add 84 to both sides.
11x=102
Add 18 and 84 to get 102.
x=\frac{102}{11}
Divide both sides by 11.