1 Answer

Lajos Veres · Answer 1 · 2023-08-29T05:50:19+0000

The question to solve is:

$4.5\mleft(8-x\mright)+22=102-2.5\mleft(5x+24\mright)$

Remember the distributive rule to simplify this:

$a(b\pm c)=ab\pm ac$

Now, let's go ahead and simplify further:

$\begin{gathered} 4.5(8-x)+22=102-2.5(5x+24) \\ 36-4.5x+22=102-12.5x-60 \\ 58-4.5x=-12.5x+42 \end{gathered}$

Now, we simply take x's to one side and numbers to another and solve for the variable, x.

$\begin{gathered} -4.5x+12.5x=42-58 \\ 8x=-16 \\ x=-(16)/(8) \\ x=-2 \end{gathered}$

Please log in or register to add a comment.