To solve the given equation, we need to perform any needed calculation to isolate X on it.
[tex]\frac{3}{8}x+7=-\frac{7}{8}[/tex]The first step is to multiply both sides by 8, as follows:
[tex]\begin{gathered} (\frac{3}{8}x+7)\cdot8=-\frac{7}{8}\cdot8 \\ \\ 3x+56=-7 \end{gathered}[/tex]Now we subtract 56 to both sides:
[tex]\begin{gathered} 3x+56-56=-7-56 \\ \\ 3x=-63 \end{gathered}[/tex]Now we divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}=-\frac{63}{3} \\ \\ x=-21 \end{gathered}[/tex]From the solution we developed above, we are able to conclude that the answer of the given equation is:
[tex]x=-21[/tex]