Solve 2+x/6+2=1/3-2x+2

$$2 + \frac { x } { 6 } + 2 = \frac { 1 } { 3 } - 2 x + 2$$

Solve for x

$$x=-\frac{10}{13}\approx -0.769230769$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$12+x+12=2-12x+12$$

Add 12 and 12 to get 24.

$$24+x=2-12x+12$$

Add 2 and 12 to get 14.

$$24+x=14-12x$$

Add 12x to both sides.

$$24+x+12x=14$$

Combine x and 12x to get 13x.

$$24+13x=14$$

Subtract 24 from both sides.

$$13x=14-24$$

Subtract 24 from 14 to get -10.

$$13x=-10$$

Divide both sides by 13.

$$x=\frac{-10}{13}$$

Fraction \frac{-10}{13} can be rewritten as -\frac{10}{13} by extracting the negative sign.

$$x=-\frac{10}{13}$$