Solve 1/3+2x+2=2

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

Solve for x

$$x=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

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

Add 1 and 6 to get 7.

$$\frac{7}{3}+2x=2$$

Subtract \frac{7}{3} from both sides.

$$2x=2-\frac{7}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$2x=\frac{6}{3}-\frac{7}{3}$$

Since \frac{6}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{6-7}{3}$$

Subtract 7 from 6 to get -1.

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

Divide both sides by 2.

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

Express \frac{-\frac{1}{3}}{2} as a single fraction.

$$x=\frac{-1}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$x=-\frac{1}{6}$$