We must solve the following equation for x:
[tex]\frac{56}{x}+3=-4[/tex]We can start by substracting 3 from both sides of the equation:
[tex]\begin{gathered} \frac{56}{x}+3-3=-4-3 \\ \frac{56}{x}=-7 \end{gathered}[/tex]Then we can multiply both sides by x:
[tex]\begin{gathered} \frac{56}{x}\cdot x=-7\cdot x \\ -7x=56 \end{gathered}[/tex]Then we can divide both sides by -7:
[tex]\begin{gathered} -\frac{7x}{-7}=\frac{56}{-7} \\ x=-8 \end{gathered}[/tex]AnswerThen the answer is -8.