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2\times 12x=8
Multiply both sides of the equation by 4, the least common multiple of 2,4.
24x=8
Multiply 2 and 12 to get 24.
x=\frac{8}{24}
Divide both sides by 24.
x=\frac{1}{3}
Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.