Solve 5/14x+1/2=11/7

$$\frac { 5 } { 14 } x + \frac { 1 } { 2 } = \frac { 11 } { 7 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from both sides.

$$\frac{5}{14}x=\frac{11}{7}-\frac{1}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{11}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{5}{14}x=\frac{22}{14}-\frac{7}{14}$$

Since \frac{22}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{14}x=\frac{22-7}{14}$$

Subtract 7 from 22 to get 15.

$$\frac{5}{14}x=\frac{15}{14}$$

Multiply both sides by \frac{14}{5}, the reciprocal of \frac{5}{14}.

$$x=\frac{15}{14}\times \frac{14}{5}$$

Multiply \frac{15}{14} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 14}{14\times 5}$$

Cancel out 14 in both numerator and denominator.

$$x=\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$x=3$$