The given equation is
[tex]3x+6=-4x-29[/tex]First, we add 4x on each side.
[tex]\begin{gathered} 3x+4x+6=-4x+4x-29 \\ 7x+6=-29 \end{gathered}[/tex]Then, we subtract 6 from each side.
[tex]\begin{gathered} 7x+6-6=-29-6 \\ 7x=-35 \end{gathered}[/tex]At last, we divide the equation by 7.
[tex]\begin{gathered} \frac{7x}{7}=-\frac{35}{7} \\ x=-5 \end{gathered}[/tex]