The given equation is,
[tex]4+\sqrt{6x+4}=8[/tex]Subtract 4 from both sides
[tex]\begin{gathered} 4+\sqrt{6x+4}-4=8-4 \\ 4-4+\sqrt{6x+4}=4 \\ \sqrt{6x+4}=4 \end{gathered}[/tex]Square both sides
[tex]\begin{gathered} (\sqrt{6x+4})^2=4^2 \\ 6x+4=16 \end{gathered}[/tex]Subtract 4 from both sides
[tex]\begin{gathered} 6x+4-4=16-4 \\ 6x=12 \end{gathered}[/tex]Divide both sides by 6
[tex]\begin{gathered} \frac{6x}{6}=\frac{12}{6} \\ x=2 \end{gathered}[/tex]Hence,
[tex]x=2\text{ \lparen OPTION A\rparen}[/tex]
