Solve for x
x = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111
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2\left(3x-1\right)\times \frac{3}{2}-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=5
Use the distributive property to multiply 2 by 3x-1.
9x-3-2=5
Use the distributive property to multiply 6x-2 by \frac{3}{2}.
9x-5=5
Subtract 2 from -3 to get -5.
9x=5+5
Add 5 to both sides.
9x=10
Add 5 and 5 to get 10.
x=\frac{10}{9}
Divide both sides by 9.
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