Solve x-3/2-x-1/8=1/8

$$\frac { x - 3 } { 2 } - \frac { x - 1 } { 8 } = \frac { 1 } { 8 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(x-3\right)-\left(x-1\right)=1$$

Use the distributive property to multiply 4 by x-3.

$$4x-12-\left(x-1\right)=1$$

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

$$4x-12-x-\left(-1\right)=1$$

The opposite of -1 is 1.

$$4x-12-x+1=1$$

Combine 4x and -x to get 3x.

$$3x-12+1=1$$

Add -12 and 1 to get -11.

$$3x-11=1$$

Add 11 to both sides.

$$3x=1+11$$

Add 1 and 11 to get 12.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$