The question to solve is:
[tex]4.5\mleft(8-x\mright)+22=102-2.5\mleft(5x+24\mright)[/tex]Remember the distributive rule to simplify this:
[tex]a(b\pm c)=ab\pm ac[/tex]Now, let's go ahead and simplify further:
[tex]\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}[/tex]Now, we simply take x's to one side and numbers to another and solve for the variable, x.
[tex]\begin{gathered} -4.5x+12.5x=42-58 \\ 8x=-16 \\ x=-\frac{16}{8} \\ x=-2 \end{gathered}[/tex]
