2[2(2x-1)-1]-1=0

Solution for 2[2(2x-1)-1]-1=0 equation:

Simplifying
2[2(2x + -1) + -1] + -1 = 0

Reorder the terms:
2[2(-1 + 2x) + -1] + -1 = 0
2[(-1 * 2 + 2x * 2) + -1] + -1 = 0
2[(-2 + 4x) + -1] + -1 = 0

Reorder the terms:
2[-2 + -1 + 4x] + -1 = 0

Combine like terms: -2 + -1 = -3
2[-3 + 4x] + -1 = 0
[-3 * 2 + 4x * 2] + -1 = 0
[-6 + 8x] + -1 = 0

Reorder the terms:
-6 + -1 + 8x = 0

Combine like terms: -6 + -1 = -7
-7 + 8x = 0

Solving
-7 + 8x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 8x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 0 + 7
8x = 0 + 7

Combine like terms: 0 + 7 = 7
8x = 7

Divide each side by '8'.
x = 0.875

Simplifying
x = 0.875