Solve 5/6x+1/2=14

$$\frac { 5 } { 6 } x + \frac { 1 } { 2 } = 14$$

Solve for x

$$x = \frac{81}{5} = 16\frac{1}{5} = 16.2$$

Steps for Solving Linear Equation

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

$$\frac{5}{6}x=14-\frac{1}{2}$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{5}{6}x=\frac{28}{2}-\frac{1}{2}$$

Since \frac{28}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{6}x=\frac{28-1}{2}$$

Subtract 1 from 28 to get 27.

$$\frac{5}{6}x=\frac{27}{2}$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=\frac{27}{2}\times \frac{6}{5}$$

Multiply \frac{27}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27\times 6}{2\times 5}$$

Do the multiplications in the fraction \frac{27\times 6}{2\times 5}.

$$x=\frac{162}{10}$$

Reduce the fraction \frac{162}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{81}{5}$$