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2\left(2x-1\right)\times 3-2=4
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2x-1\right), the least common multiple of 2x-1,4x-2.
\left(4x-2\right)\times 3-2=4
Use the distributive property to multiply 2 by 2x-1.
12x-6-2=4
Use the distributive property to multiply 4x-2 by 3.
12x-8=4
Subtract 2 from -6 to get -8.
12x=4+8
Add 8 to both sides.
12x=12
Add 4 and 8 to get 12.
x=\frac{12}{12}
Divide both sides by 12.
x=1
Divide 12 by 12 to get 1.