Solve for x
x=-\frac{1}{2}=-0.5
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2x-5=3\left(2x-1\right)
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1, the least common multiple of 2x-1,1-2x.
2x-5=6x-3
Use the distributive property to multiply 3 by 2x-1.
2x-5-6x=-3
Subtract 6x from both sides.
-4x-5=-3
Combine 2x and -6x to get -4x.
-4x=-3+5
Add 5 to both sides.
-4x=2
Add -3 and 5 to get 2.
x=\frac{2}{-4}
Divide both sides by -4.
x=-\frac{1}{2}
Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.
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