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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + x = 3x
102 = 6 + 3x

Solving
102 = 6 + 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.
102 + -3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
102 + -3x = 6 + 0
102 + -3x = 6

Add '-102' to each side of the equation.
102 + -102 + -3x = 6 + -102

Combine like terms: 102 + -102 = 0
0 + -3x = 6 + -102
-3x = 6 + -102

Combine like terms: 6 + -102 = -96
-3x = -96

Divide each side by '-3'.
x = 32

Simplifying
x = 32

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