Given the equation:
[tex]\sqrt[]{4x+1}=\sqrt[]{x\text{ + 10}}[/tex]Squaring both terms:
[tex]4x\text{ + 1 = x + 10}[/tex]Grouping similar terms:
[tex]\begin{gathered} 4x\text{ - x = 10 - 1} \\ 3x\text{ = 9} \end{gathered}[/tex]Dividing both sides:
x = 3