102=(x-12)+(x+18)

Solution for 102=(x-12)+(x+18) equation:

Simplifying
102 = (x + -12) + (x + 18)

Reorder the terms:
102 = (-12 + x) + (x + 18)

Remove parenthesis around (-12 + x)
102 = -12 + x + (x + 18)

Reorder the terms:
102 = -12 + x + (18 + x)

Remove parenthesis around (18 + x)
102 = -12 + x + 18 + x

Reorder the terms:
102 = -12 + 18 + x + x

Combine like terms: -12 + 18 = 6
102 = 6 + x + x

Combine like terms: x + x = 2x
102 = 6 + 2x

Solving
102 = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
102 + -2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
102 + -2x = 6 + 0
102 + -2x = 6

Add '-102' to each side of the equation.
102 + -102 + -2x = 6 + -102

Combine like terms: 102 + -102 = 0
0 + -2x = 6 + -102
-2x = 6 + -102

Combine like terms: 6 + -102 = -96
-2x = -96

Divide each side by '-2'.
x = 48

Simplifying
x = 48