117=x+(x+1)+(x+2)

Solution for 117=x+(x+1)+(x+2) equation:

Simplifying
117 = x + (x + 1) + (x + 2)

Reorder the terms:
117 = x + (1 + x) + (x + 2)

Remove parenthesis around (1 + x)
117 = x + 1 + x + (x + 2)

Reorder the terms:
117 = x + 1 + x + (2 + x)

Remove parenthesis around (2 + x)
117 = x + 1 + x + 2 + x

Reorder the terms:
117 = 1 + 2 + x + x + x

Combine like terms: 1 + 2 = 3
117 = 3 + x + x + x

Combine like terms: x + x = 2x
117 = 3 + 2x + x

Combine like terms: 2x + x = 3x
117 = 3 + 3x

Solving
117 = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
117 + -3x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
117 + -3x = 3 + 0
117 + -3x = 3

Add '-117' to each side of the equation.
117 + -117 + -3x = 3 + -117

Combine like terms: 117 + -117 = 0
0 + -3x = 3 + -117
-3x = 3 + -117

Combine like terms: 3 + -117 = -114
-3x = -114

Divide each side by '-3'.
x = 38

Simplifying
x = 38