(X-5)+[(x+4)-5]=48

Solution for (X-5)+[(x+4)-5]=48 equation:

Simplifying
(X + -5) + [(x + 4) + -5] = 48

Reorder the terms:
(-5 + X) + [(x + 4) + -5] = 48

Remove parenthesis around (-5 + X)
-5 + X + [(x + 4) + -5] = 48

Reorder the terms:
-5 + X + [(4 + x) + -5] = 48

Remove parenthesis around (4 + x)
-5 + X + [4 + x + -5] = 48

Reorder the terms:
-5 + X + [4 + -5 + x] = 48

Combine like terms: 4 + -5 = -1
-5 + X + [-1 + x] = 48

Remove brackets around [-1 + x]
-5 + X + -1 + x = 48

Reorder the terms:
-5 + -1 + X + x = 48

Combine like terms: -5 + -1 = -6
-6 + X + x = 48

Solving
-6 + X + x = 48

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 + X + 6 + x = 48 + 6

Reorder the terms:
-6 + 6 + X + x = 48 + 6

Combine like terms: -6 + 6 = 0
0 + X + x = 48 + 6
X + x = 48 + 6

Combine like terms: 48 + 6 = 54
X + x = 54

Add '-1x' to each side of the equation.
X + x + -1x = 54 + -1x

Combine like terms: x + -1x = 0
X + 0 = 54 + -1x
X = 54 + -1x

Simplifying
X = 54 + -1x