Answer:
The equation is given below as
[tex]-\frac{4}{x+2}=\frac{3}{x+4}[/tex]Step 1:
Cross multiply
[tex]\begin{gathered} -\frac{4}{x+2}=\frac{3}{x+4} \\ -4(x+4)=3(x+2) \\ -4x-16=3x+6 \end{gathered}[/tex]Step 2:
Collect similar terms
[tex]\begin{gathered} -4x-16=3x+6 \\ -4x-3x=6+16 \\ -7x=22 \\ divide\text{ both sides by -7} \\ \frac{-7x}{-7}=\frac{22}{-7} \\ x=-\frac{22}{7} \end{gathered}[/tex]Hence,
The value of x is
[tex]\Rightarrow x=-\frac{22}{7}[/tex]
