Solve x-3/4-1-x/4=x+1/8

$$\frac{ x-3 }{ 4 } - \frac{ 1-x }{ 4 } = \frac{ x+1 }{ 8 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x-3.

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

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

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

Subtract 2 from -6 to get -8.

$$2x-8+2x=x+1$$

Combine 2x and 2x to get 4x.

$$4x-8=x+1$$

Subtract x from both sides.

$$4x-8-x=1$$

Combine 4x and -x to get 3x.

$$3x-8=1$$

Add 8 to both sides.

$$3x=1+8$$

Add 1 and 8 to get 9.

$$3x=9$$

Divide both sides by 3.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$