The given equation is
[tex]4x-2x+8=6(x+4)[/tex]First, we reduce like terms and use the distributive property.
[tex]2x+8=6x+24[/tex]Now, we subtract 6x on each side.
[tex]\begin{gathered} 2x+8-6x=6x+24-6x \\ -4x+8=24 \end{gathered}[/tex]Then, we subtract 8 on each side.
[tex]\begin{gathered} -4x+8-8=24-8 \\ -4x=16 \end{gathered}[/tex]At last, we divide the equation by -4.
[tex]\begin{gathered} \frac{-4x}{-4}=\frac{16}{-4} \\ x=-4 \end{gathered}[/tex]