Question

Solve the equation $x-\frac{1}{6}=-\frac{7}{9}$.

Short answer

The given equation has the solution $x=-\frac{11}{18}$.

Step-by-step solution

Step 1. Write down the given equation.

The given equation is $x-\frac{1}{6}=-\frac{7}{9}$.

Step 2. Simplify the equation.

The given equation $x-\frac{1}{6}=-\frac{7}{9}$is solved as:

$\begin{array}{c}x-\frac{1}{6}=-\frac{7}{9}\mathrm{....}\left(\text{Given}\right)\\ x=\frac{1}{6}-\frac{7}{9}\\ x=\frac{3-14}{18}\\ x=-\frac{11}{18}\end{array}$

Step 3. Conclusion.

The given equation has the solution $x=-\frac{11}{18}$.