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3\left(x-1\right)+12x=2
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3+12x=2
Use the distributive property to multiply 3 by x-1.
15x-3=2
Combine 3x and 12x to get 15x.
15x=2+3
Add 3 to both sides.
15x=5
Add 2 and 3 to get 5.
x=\frac{5}{15}
Divide both sides by 15.
x=\frac{1}{3}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.