Solve x-3/2-1-x/4=x+1/8

$$\frac { x - 3 } { 2 } - \frac { 1 - x } { 4 } = \frac { x + 1 } { 8 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,4,8.

$$4\left(x-3\right)-2\left(1-x\right)=x+1$$

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

$$4x-12-2\left(1-x\right)=x+1$$

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

$$4x-12-2+2x=x+1$$

Subtract 2 from -12 to get -14.

$$4x-14+2x=x+1$$

Combine 4x and 2x to get 6x.

$$6x-14=x+1$$

Subtract x from both sides.

$$6x-14-x=1$$

Combine 6x and -x to get 5x.

$$5x-14=1$$

Add 14 to both sides.

$$5x=1+14$$

Add 1 and 14 to get 15.

$$5x=15$$

Divide both sides by 5.

$$x=\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$x=3$$