24(4x-16)=288 what is x?

$$\begin{array}{rll}
24(4x-16)&=&288\\\\
\frac{24(4x-16)}{24}&=&\frac{288}{24}\\\\
4x-16&=&12\\\\
4x-16+16&=&12+16\\\\
4x&=&28\\\\
4x/4&=&28/4\\\\
x&=&7\\\\
\end{array}$$

First....divide both sides by 24...this gives us

4x - 16 = 12  add 16 to both sides

4x = 28   divide both sides by 4

x = 7