x+(x+6)+(x-5)=106

Solution for x+(x+6)+(x-5)=106 equation:

Simplifying
x + (x + 6) + (x + -5) = 106

Reorder the terms:
x + (6 + x) + (x + -5) = 106

Remove parenthesis around (6 + x)
x + 6 + x + (x + -5) = 106

Reorder the terms:
x + 6 + x + (-5 + x) = 106

Remove parenthesis around (-5 + x)
x + 6 + x + -5 + x = 106

Reorder the terms:
6 + -5 + x + x + x = 106

Combine like terms: 6 + -5 = 1
1 + x + x + x = 106

Combine like terms: x + x = 2x
1 + 2x + x = 106

Combine like terms: 2x + x = 3x
1 + 3x = 106

Solving
1 + 3x = 106

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 106 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 106 + -1
3x = 106 + -1

Combine like terms: 106 + -1 = 105
3x = 105

Divide each side by '3'.
x = 35

Simplifying
x = 35