Solve 2x-1/6--2x-1/2=1

$$\frac { 2 x - 1 } { 6 } - \frac { - 2 x - 1 } { 2 } = 1$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2.

$$2x-1-3\left(-2x-1\right)=6$$

Use the distributive property to multiply -3 by -2x-1.

$$2x-1+6x+3=6$$

Combine 2x and 6x to get 8x.

$$8x-1+3=6$$

Add -1 and 3 to get 2.

$$8x+2=6$$

Subtract 2 from both sides.

$$8x=6-2$$

Subtract 2 from 6 to get 4.

$$8x=4$$

Divide both sides by 8.

$$x=\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{1}{2}$$