Solve 3x/2-x-2/4=5+x/8

$$\frac { 3 x } { 2 } - \frac { x - 2 } { 4 } = 5 + \frac { x } { 8 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$4\times 3x-2\left(x-2\right)=40+x$$

Multiply 4 and 3 to get 12.

$$12x-2\left(x-2\right)=40+x$$

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

$$12x-2x+4=40+x$$

Combine 12x and -2x to get 10x.

$$10x+4=40+x$$

Subtract x from both sides.

$$10x+4-x=40$$

Combine 10x and -x to get 9x.

$$9x+4=40$$

Subtract 4 from both sides.

$$9x=40-4$$

Subtract 4 from 40 to get 36.

$$9x=36$$

Divide both sides by 9.

$$x=\frac{36}{9}$$

Divide 36 by 9 to get 4.

$$x=4$$