Question

1/3x - 5 = 4/3 x + 4

Answer 1

$\frac{1}{3}x-5=\frac{4}{3}x+4$

To solve the equation we should separate x on one side and the number on the other side, so we will subtract both sides by 4/3 x

$\begin{gathered} \frac{1}{3}x-\frac{4}{3}x-5=\frac{4}{3}x-\frac{4}{3}x+4 \\ -\frac{3}{3}x-5=4 \\ -x-5=4 \end{gathered}$

Now we need to add both sides by 5

$\begin{gathered} -x-5+5=4+5 \\ -x=9 \end{gathered}$

Divide both sides by -1 to make x positive

$\begin{gathered} \frac{-x}{-1}=\frac{9}{-1} \\ x=-9 \end{gathered}$

The value of x is -9