Solve x+1/4-x-1/8=1/8

$$\frac { x + 1 } { 4 } - \frac { x - 1 } { 8 } = \frac { 1 } { 8 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8.

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

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

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

To find the opposite of x-1, find the opposite of each term.

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

The opposite of -1 is 1.

$$2x+2-x+1=1$$

Combine 2x and -x to get x.

$$x+2+1=1$$

Add 2 and 1 to get 3.

$$x+3=1$$

Subtract 3 from both sides.

$$x=1-3$$

Subtract 3 from 1 to get -2.

$$x=-2$$