Question

Solve the equation.

$\frac{2}{9}x+\frac{5}{9}=3$

Short answer

The solution of$\frac{2}{9}x+\frac{5}{9}=3$ is x = 11.

Step-by-step solution

. Given

The given equation is$\frac{2}{9}x+\frac{5}{9}=3$

.To determine

We have to solve the equation$\frac{2}{9}x+\frac{5}{9}=3$

. Calculation

To solve the equation, we try to get x alone on a side:

$\begin{array}{c}\frac{2}{9}x+\frac{5}{9}=3\\ \frac{2}{9}x=3-\frac{5}{9}\left[\text{groupliketerms}\right]\\ \frac{2}{9}x=\frac{27-5}{9}\left[\text{writedifferenceofnumeratoroverdenominator}\right]\\ \frac{2}{9}x=\frac{22}{9}\left[\text{subtract}\right]\\ \text{2}x=22\left[\text{multiplybothsidewith9}\right]\\ x=11\left[\text{dividebothsidewith2}\right]\\ \end{array}$

So, the solution of the equation $\frac{2}{9}x+\frac{5}{9}=3$is x = 11.