Solve 8/5x-2/3x=4/15

$$8 / 5 x - 2 / 3 x = 4 / 15$$

Solve for x

$$x=\frac{2}{7}\approx 0.285714286$$

Steps for Solving Linear Equation

Combine \frac{8}{5}x and -\frac{2}{3}x to get \frac{14}{15}x.

$$\frac{14}{15}x=\frac{4}{15}$$

Multiply both sides by \frac{15}{14}, the reciprocal of \frac{14}{15}.

$$x=\frac{4}{15}\times \frac{15}{14}$$

Multiply \frac{4}{15} times \frac{15}{14} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 15}{15\times 14}$$

Cancel out 15 in both numerator and denominator.

$$x=\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{2}{7}$$