[2(x-1)-3]-1=34

Solution for [2(x-1)-3]-1=34 equation:

Simplifying
[2(x + -1) + -3] + -1 = 34

Reorder the terms:
[2(-1 + x) + -3] + -1 = 34
[(-1 * 2 + x * 2) + -3] + -1 = 34
[(-2 + 2x) + -3] + -1 = 34

Reorder the terms:
[-2 + -3 + 2x] + -1 = 34

Combine like terms: -2 + -3 = -5
[-5 + 2x] + -1 = 34

Remove brackets around [-5 + 2x]
-5 + 2x + -1 = 34

Reorder the terms:
-5 + -1 + 2x = 34

Combine like terms: -5 + -1 = -6
-6 + 2x = 34

Solving
-6 + 2x = 34

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 34 + 6
2x = 34 + 6

Combine like terms: 34 + 6 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20