Solve x-x-1/2=2-x+2/4

$$x - \frac { x - 1 } { 2 } = 2 - \frac { x + 2 } { 4 }$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$4x-2\left(x-1\right)=8-\left(x+2\right)$$

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

$$4x-2x+2=8-\left(x+2\right)$$

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

$$2x+2=8-\left(x+2\right)$$

To find the opposite of x+2, find the opposite of each term.

$$2x+2=8-x-2$$

Subtract 2 from 8 to get 6.

$$2x+2=6-x$$

Add x to both sides.

$$2x+2+x=6$$

Combine 2x and x to get 3x.

$$3x+2=6$$

Subtract 2 from both sides.

$$3x=6-2$$

Subtract 2 from 6 to get 4.

$$3x=4$$

Divide both sides by 3.

$$x=\frac{4}{3}$$