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3\times 9x-x=12
Multiply both sides of the equation by 6, the least common multiple of 2,6.
27x-x=12
Multiply 3 and 9 to get 27.
26x=12
Combine 27x and -x to get 26x.
x=\frac{12}{26}
Divide both sides by 26.
x=\frac{6}{13}
Reduce the fraction \frac{12}{26} to lowest terms by extracting and canceling out 2.