Respuesta :

Easy, you have,

[tex] \sqrt{2x+5} = \sqrt{3x-1} [/tex]

now, it may seem tricky with the square roots, but it's not. 
To get rid off the square roots, square each side.

or,

[tex] \sqrt{2x+5} ^{2} = \sqrt{3x-1} ^{2} [/tex]

eliminating the square roots,

2x+5=3x-1

Now you have a really easy problem.

2x+5=3x-1
-2x      -2x

5=x-1

5=x-1
+1   +1

6=x

Thus, your answer is, x=6.

Simplify to

1.414214x+5=1.732051x-1

Subtract 1.732051x from both sides

1.414214x+5-1.732051x=1.732051x-1-1.732051x

-0.317837x+5=-1

Subtract 5 from both sides

-0.317837x+5-5=-1-5

-0.317837x=-6

Divide both sides by -0.317837

0.317837x/-0.317837= -6/-0.317837

x= 18.877601

I hope that's help !