Solve for x
x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333
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2\left(3x-1\right)\times \frac{3}{2}-2\times 2=5
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 2\left(3x-1\right), the least common multiple of 2,3x-1,6x-2.
\left(6x-2\right)\times \frac{3}{2}-2\times 2=5
Use the distributive property to multiply 2 by 3x-1.
9x-3-2\times 2=5
Use the distributive property to multiply 6x-2 by \frac{3}{2}.
9x-3-4=5
Multiply -2 and 2 to get -4.
9x-7=5
Subtract 4 from -3 to get -7.
9x=5+7
Add 7 to both sides.
9x=12
Add 5 and 7 to get 12.
x=\frac{12}{9}
Divide both sides by 9.
x=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.
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