(X+1)+[(x-5)+1]=57

Solution for (X+1)+[(x-5)+1]=57 equation:

Simplifying
(X + 1) + [(x + -5) + 1] = 57

Reorder the terms:
(1 + X) + [(x + -5) + 1] = 57

Remove parenthesis around (1 + X)
1 + X + [(x + -5) + 1] = 57

Reorder the terms:
1 + X + [(-5 + x) + 1] = 57

Remove parenthesis around (-5 + x)
1 + X + [-5 + x + 1] = 57

Reorder the terms:
1 + X + [-5 + 1 + x] = 57

Combine like terms: -5 + 1 = -4
1 + X + [-4 + x] = 57

Remove brackets around [-4 + x]
1 + X + -4 + x = 57

Reorder the terms:
1 + -4 + X + x = 57

Combine like terms: 1 + -4 = -3
-3 + X + x = 57

Solving
-3 + X + x = 57

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + x = 57 + 3

Reorder the terms:
-3 + 3 + X + x = 57 + 3

Combine like terms: -3 + 3 = 0
0 + X + x = 57 + 3
X + x = 57 + 3

Combine like terms: 57 + 3 = 60
X + x = 60

Add '-1x' to each side of the equation.
X + x + -1x = 60 + -1x

Combine like terms: x + -1x = 0
X + 0 = 60 + -1x
X = 60 + -1x

Simplifying
X = 60 + -1x