Solve 2x-1/3=2x+1/6-1

$$\frac { 2 x - 1 } { 3 } = \frac { 2 x + 1 } { 6 } - 1$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

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

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

$$4x-2=2x+1-6$$

Subtract 6 from 1 to get -5.

$$4x-2=2x-5$$

Subtract 2x from both sides.

$$4x-2-2x=-5$$

Combine 4x and -2x to get 2x.

$$2x-2=-5$$

Add 2 to both sides.

$$2x=-5+2$$

Add -5 and 2 to get -3.

$$2x=-3$$

Divide both sides by 2.

$$x=\frac{-3}{2}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$x=-\frac{3}{2}$$