To solve the equation you can first subtract 4x from both sides. Then,
[tex]\begin{gathered} 4x-5=8+4x\rightarrow\text{original equation} \\ 4x-4x-5=8+4x-4x \\ 0-5=8+0 \\ -5=8 \end{gathered}[/tex]Since you arrive at something false, -5 is not equal to negative 8, so the equation has no solution.
