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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

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

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

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

Combine 6x and 3x to get 9x.

$$9x-3=2\left(2x-1\right)-6$$

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

$$9x-3=4x-2-6$$

Subtract 6 from -2 to get -8.

$$9x-3=4x-8$$

Subtract 4x from both sides.

$$9x-3-4x=-8$$

Combine 9x and -4x to get 5x.

$$5x-3=-8$$

Add 3 to both sides.

$$5x=-8+3$$

Add -8 and 3 to get -5.

$$5x=-5$$

Divide both sides by 5.

$$x=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$x=-1$$