Question

solving equations 2 - 4/9x = 6

Answer 1

In order to solve this equation for x, we can do the following steps:

1) Multiply the equation by 9:

$\begin{gathered} 2-\frac{4}{9}x=6 \\ 9\cdot(2-\frac{4}{9}x)=9\cdot6 \\ 18-4x=54 \end{gathered}$

2) subtract 18 from both sides:

$\begin{gathered} 18-4x-18=54-18 \\ -4x=36 \end{gathered}$

3) Divide both sides by -4:

$\begin{gathered} -\frac{4x}{-4}=\frac{36}{-4} \\ x=-9 \end{gathered}$

So the value of x is -9