(x+37)+(y-14)+105=108

Solution for (x+37)+(y-14)+105=108 equation:

Simplifying
(x + 37) + (y + -14) + 105 = 108

Reorder the terms:
(37 + x) + (y + -14) + 105 = 108

Remove parenthesis around (37 + x)
37 + x + (y + -14) + 105 = 108

Reorder the terms:
37 + x + (-14 + y) + 105 = 108

Remove parenthesis around (-14 + y)
37 + x + -14 + y + 105 = 108

Reorder the terms:
37 + -14 + 105 + x + y = 108

Combine like terms: 37 + -14 = 23
23 + 105 + x + y = 108

Combine like terms: 23 + 105 = 128
128 + x + y = 108

Solving
128 + x + y = 108

Solving for variable 'x'.

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

Add '-128' to each side of the equation.
128 + x + -128 + y = 108 + -128

Reorder the terms:
128 + -128 + x + y = 108 + -128

Combine like terms: 128 + -128 = 0
0 + x + y = 108 + -128
x + y = 108 + -128

Combine like terms: 108 + -128 = -20
x + y = -20

Add '-1y' to each side of the equation.
x + y + -1y = -20 + -1y

Combine like terms: y + -1y = 0
x + 0 = -20 + -1y
x = -20 + -1y

Simplifying
x = -20 + -1y