Solve 4/5x-1/7x=1/15

$$\frac { 4 } { 5 } x - \frac { 1 } { 7 } x = \frac { 1 } { 15 }$$

Solve for x

$$x=\frac{7}{69}\approx 0.101449275$$

Steps for Solving Linear Equation

Combine \frac{4}{5}x and -\frac{1}{7}x to get \frac{23}{35}x.

$$\frac{23}{35}x=\frac{1}{15}$$

Multiply both sides by \frac{35}{23}, the reciprocal of \frac{23}{35}.

$$x=\frac{1}{15}\times \frac{35}{23}$$

Multiply \frac{1}{15} times \frac{35}{23} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 35}{15\times 23}$$

Do the multiplications in the fraction \frac{1\times 35}{15\times 23}.

$$x=\frac{35}{345}$$

Reduce the fraction \frac{35}{345} to lowest terms by extracting and canceling out 5.

$$x=\frac{7}{69}$$