Respuesta :

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]\sqrt{3x+8}=\sqrt{4x+1}[/tex]

Square both sides:

[tex](\sqrt{3x+8})^{2} =(\sqrt{4x+1})^{2}[/tex]

[tex]3x+8=4x+1[/tex]

Subtract 8 from both sides:

[tex]3x+8-8=4x+1-8[/tex]

[tex]3x=4x-7[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-7-4x[/tex]

[tex]-x=-7[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-7}{-1}[/tex]

[tex]x=7[/tex]