Solve x-2-x/6=x+2/6

$$x - \frac { 2 - x } { 6 } = \frac { x + 2 } { 6 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

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

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

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

The opposite of -x is x.

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

Combine 6x and x to get 7x.

$$7x-2=x+2$$

Subtract x from both sides.

$$7x-2-x=2$$

Combine 7x and -x to get 6x.

$$6x-2=2$$

Add 2 to both sides.

$$6x=2+2$$

Add 2 and 2 to get 4.

$$6x=4$$

Divide both sides by 6.

$$x=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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