Solve 3/7x+1/14=5/14

$$\frac { 3 } { 7 } x + \frac { 1 } { 14 } = \frac { 5 } { 14 }$$

Solve for x

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

Steps for Solving Linear Equation

Subtract \frac{1}{14} from both sides.

$$\frac{3}{7}x=\frac{5}{14}-\frac{1}{14}$$

Since \frac{5}{14} and \frac{1}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{7}x=\frac{5-1}{14}$$

Subtract 1 from 5 to get 4.

$$\frac{3}{7}x=\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

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

Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}.

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

Multiply \frac{2}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 7 in both numerator and denominator.

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