Solve x/3-x-2/12=2-2/3x

$$\frac { x } { 3 } - \frac { x - 2 } { 12 } = 2 - \frac { 2 } { 3 } x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,12.

$$4x-\left(x-2\right)=24-8x$$

To find the opposite of x-2, find the opposite of each term.

$$4x-x-\left(-2\right)=24-8x$$

The opposite of -2 is 2.

$$4x-x+2=24-8x$$

Combine 4x and -x to get 3x.

$$3x+2=24-8x$$

Add 8x to both sides.

$$3x+2+8x=24$$

Combine 3x and 8x to get 11x.

$$11x+2=24$$

Subtract 2 from both sides.

$$11x=24-2$$

Subtract 2 from 24 to get 22.

$$11x=22$$

Divide both sides by 11.

$$x=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$x=2$$