Solve 2/7+1/7x=1/2

$$\frac { 2 } { 7 } + \frac { 1 } { 7 } x = \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

$$\frac{1}{7}x=\frac{1}{2}-\frac{2}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{2}{7} to fractions with denominator 14.

$$\frac{1}{7}x=\frac{7}{14}-\frac{4}{14}$$

Since \frac{7}{14} and \frac{4}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{7}x=\frac{7-4}{14}$$

Subtract 4 from 7 to get 3.

$$\frac{1}{7}x=\frac{3}{14}$$

Multiply both sides by 7, the reciprocal of \frac{1}{7}.

$$x=\frac{3}{14}\times 7$$

Express \frac{3}{14}\times 7 as a single fraction.

$$x=\frac{3\times 7}{14}$$

Multiply 3 and 7 to get 21.

$$x=\frac{21}{14}$$

Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.

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