First, let's simplify each side separately:

√x + 2√x - 1 = 3√x - 1

√x - 2√x - 1 = -√x - 1

Therefore, the equation becomes:

3√x - 1 - √x - 1 = 2

Combining like terms, we get:

2√x - 2 = 2

Adding 2 to both sides:

2√x = 4

Dividing by 2:

√x = 2

Square both sides to find x:

(√x)^2 = (2)^2

x = 4

So, the solution to the equation is x = 4.