Respuesta :

We are given the equation:

√(4x - 2) + 3 = 5

Subtracting by 3 on both sides

√(4x - 2) = 2

Squaring both sides

4x - 2 = 4

Adding 2 on both sides

4x = 6

x = 3/2

Step-by-step explanation:

Hey there!

Given;

[tex] \sqrt{4x - 2} + 3 = 5[/tex]

Shift "3" on right side.

[tex] \sqrt{4x - 2} = 5 - 3[/tex]

[tex] \sqrt{4x - 2} = 2[/tex]

Squaring on both sides.

[tex] {( \sqrt{4x - 2} )}^{2} = {2}^{2} [/tex]

Simplify it.

[tex]4x - 2 = 4[/tex]

[tex]4x = 4 + 2[/tex]

[tex]x = \frac{6}{4} [/tex]

[tex]x = \frac{3}{2} [/tex]

Therefore, X = 3/2.

Hope it helps...