x+(x-1)+(x-2)=108

Solution for x+(x-1)+(x-2)=108 equation:

Simplifying
x + (x + -1) + (x + -2) = 108

Reorder the terms:
x + (-1 + x) + (x + -2) = 108

Remove parenthesis around (-1 + x)
x + -1 + x + (x + -2) = 108

Reorder the terms:
x + -1 + x + (-2 + x) = 108

Remove parenthesis around (-2 + x)
x + -1 + x + -2 + x = 108

Reorder the terms:
-1 + -2 + x + x + x = 108

Combine like terms: -1 + -2 = -3
-3 + x + x + x = 108

Combine like terms: x + x = 2x
-3 + 2x + x = 108

Combine like terms: 2x + x = 3x
-3 + 3x = 108

Solving
-3 + 3x = 108

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 + 3 + 3x = 108 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 108 + 3
3x = 108 + 3

Combine like terms: 108 + 3 = 111
3x = 111

Divide each side by '3'.
x = 37

Simplifying
x = 37