Solve 2/9x-13/6x=1/12

$$\frac { 2 } { 9 } x - \frac { 13 } { 6 } x = \frac { 1 } { 12 }$$

Solve for x

$$x=-\frac{3}{70}\approx -0.042857143$$

Steps for Solving Linear Equation

Combine \frac{2}{9}x and -\frac{13}{6}x to get -\frac{35}{18}x.

$$-\frac{35}{18}x=\frac{1}{12}$$

Multiply both sides by -\frac{18}{35}, the reciprocal of -\frac{35}{18}.

$$x=\frac{1}{12}\left(-\frac{18}{35}\right)$$

Multiply \frac{1}{12} times -\frac{18}{35} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\left(-18\right)}{12\times 35}$$

Do the multiplications in the fraction \frac{1\left(-18\right)}{12\times 35}.

$$x=\frac{-18}{420}$$

Reduce the fraction \frac{-18}{420} to lowest terms by extracting and canceling out 6.

$$x=-\frac{3}{70}$$