Solve 3x+2/7=x+2

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

Solve for x

$$x=\frac{6}{7}\approx 0.857142857$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

Combine 3x and -x to get 2x.

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

Subtract \frac{2}{7} from both sides.

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

Convert 2 to fraction \frac{14}{7}.

$$2x=\frac{14}{7}-\frac{2}{7}$$

Since \frac{14}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{14-2}{7}$$

Subtract 2 from 14 to get 12.

$$2x=\frac{12}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{12}{7}}{2}$$

Express \frac{\frac{12}{7}}{2} as a single fraction.

$$x=\frac{12}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{12}{14}$$

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{6}{7}$$