Solve for x
x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667
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4\times 3-2=6\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of 2x-2,1-x.
12-2=6\left(x-1\right)
Multiply 4 and 3 to get 12.
10=6\left(x-1\right)
Subtract 2 from 12 to get 10.
10=6x-6
Use the distributive property to multiply 6 by x-1.
6x-6=10
Swap sides so that all variable terms are on the left hand side.
6x=10+6
Add 6 to both sides.
6x=16
Add 10 and 6 to get 16.
x=\frac{16}{6}
Divide both sides by 6.
x=\frac{8}{3}
Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.
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