114=x+(x+1)+(x+2)+(x+3)

Solution for 114=x+(x+1)+(x+2)+(x+3) equation:

Simplifying
114 = x + (x + 1) + (x + 2) + (x + 3)

Reorder the terms:
114 = x + (1 + x) + (x + 2) + (x + 3)

Remove parenthesis around (1 + x)
114 = x + 1 + x + (x + 2) + (x + 3)

Reorder the terms:
114 = x + 1 + x + (2 + x) + (x + 3)

Remove parenthesis around (2 + x)
114 = x + 1 + x + 2 + x + (x + 3)

Reorder the terms:
114 = x + 1 + x + 2 + x + (3 + x)

Remove parenthesis around (3 + x)
114 = x + 1 + x + 2 + x + 3 + x

Reorder the terms:
114 = 1 + 2 + 3 + x + x + x + x

Combine like terms: 1 + 2 = 3
114 = 3 + 3 + x + x + x + x

Combine like terms: 3 + 3 = 6
114 = 6 + x + x + x + x

Combine like terms: x + x = 2x
114 = 6 + 2x + x + x

Combine like terms: 2x + x = 3x
114 = 6 + 3x + x

Combine like terms: 3x + x = 4x
114 = 6 + 4x

Solving
114 = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
114 + -4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
114 + -4x = 6 + 0
114 + -4x = 6

Add '-114' to each side of the equation.
114 + -114 + -4x = 6 + -114

Combine like terms: 114 + -114 = 0
0 + -4x = 6 + -114
-4x = 6 + -114

Combine like terms: 6 + -114 = -108
-4x = -108

Divide each side by '-4'.
x = 27

Simplifying
x = 27