Solve 3/8-2/5x=1/3

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

Solve for x

$$x=\frac{5}{48}\approx 0.104166667$$

Steps for Solving Linear Equation

Subtract \frac{3}{8} from both sides.

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

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{3}{8} to fractions with denominator 24.

$$-\frac{2}{5}x=\frac{8}{24}-\frac{9}{24}$$

Since \frac{8}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{5}x=\frac{8-9}{24}$$

Subtract 9 from 8 to get -1.

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

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

$$x=-\frac{1}{24}\left(-\frac{5}{2}\right)$$

Multiply -\frac{1}{24} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-\left(-5\right)}{24\times 2}$$

Do the multiplications in the fraction \frac{-\left(-5\right)}{24\times 2}.

$$x=\frac{5}{48}$$