Solve 7/9x-13/6x=1/12

$$\frac { 7 } { 9 } x - \frac { 13 } { 6 } x = \frac { 1 } { 12 }$$

Solve for x

$$x=-\frac{3}{50}=-0.06$$

Steps for Solving Linear Equation

Combine \frac{7}{9}x and -\frac{13}{6}x to get -\frac{25}{18}x.

$$-\frac{25}{18}x=\frac{1}{12}$$

Multiply both sides by -\frac{18}{25}, the reciprocal of -\frac{25}{18}.

$$x=\frac{1}{12}\left(-\frac{18}{25}\right)$$

Multiply \frac{1}{12} times -\frac{18}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\left(-18\right)}{12\times 25}$$

Do the multiplications in the fraction \frac{1\left(-18\right)}{12\times 25}.

$$x=\frac{-18}{300}$$

Reduce the fraction \frac{-18}{300} to lowest terms by extracting and canceling out 6.

$$x=-\frac{3}{50}$$