Solve 2/5x+1/3=8

$$\frac { 2 } { 5 } x + \frac { 1 } { 3 } = 8$$

Solve for x

$$x = \frac{115}{6} = 19\frac{1}{6} \approx 19.166666667$$

Steps for Solving Linear Equation

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

$$\frac{2}{5}x=8-\frac{1}{3}$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{2}{5}x=\frac{24}{3}-\frac{1}{3}$$

Since \frac{24}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{5}x=\frac{24-1}{3}$$

Subtract 1 from 24 to get 23.

$$\frac{2}{5}x=\frac{23}{3}$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=\frac{23}{3}\times \frac{5}{2}$$

Multiply \frac{23}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{23\times 5}{3\times 2}$$

Do the multiplications in the fraction \frac{23\times 5}{3\times 2}.

$$x=\frac{115}{6}$$