Solve 5/8x+1/3=17/6

$$\frac { 5 } { 8 } x + \frac { 1 } { 3 } = \frac { 17 } { 6 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$\frac{5}{8}x=\frac{17}{6}-\frac{1}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{17}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{5}{8}x=\frac{17}{6}-\frac{2}{6}$$

Since \frac{17}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{8}x=\frac{17-2}{6}$$

Subtract 2 from 17 to get 15.

$$\frac{5}{8}x=\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}x=\frac{5}{2}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=\frac{5}{2}\times \frac{8}{5}$$

Multiply \frac{5}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 8}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$