hello
to solve for x, we have to simplify this equation
step one
collect like terms
[tex]\begin{gathered} \frac{8}{9}x+4=12 \\ \frac{8}{9}x=12-4 \\ \frac{8}{9}x=8 \\ \end{gathered}[/tex]step two
cross multipy both sides
[tex]\begin{gathered} \frac{8}{9}x=8 \\ 8x=8\times9 \\ 8x=72 \end{gathered}[/tex]step three
divide both sides by the coefficient of x
[tex]\begin{gathered} 8x=72 \\ \frac{8x}{8}=\frac{72}{8} \\ x=9 \end{gathered}[/tex]from the calculation above, the value of x is equal to 9