The given expression is
[tex]4x-14=3x+12[/tex]First, we subtract 3x from both sides.
[tex]\begin{gathered} 4x-3x-14=3x-3x+12 \\ x-14=12 \end{gathered}[/tex]Then, we add 14 on each side.
[tex]\begin{gathered} x-14+14=12+14 \\ x=26 \end{gathered}[/tex]