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3x=8\times 12
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of 8,x.
3x=96
Multiply 8 and 12 to get 96.
x=\frac{96}{3}
Divide both sides by 3.
x=32
Divide 96 by 3 to get 32.