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

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


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

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

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

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

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

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

Combine like terms: 12 + 18 = 30
30 + x + x + x = 102

Combine like terms: x + x = 2x
30 + 2x + x = 102

Combine like terms: 2x + x = 3x
30 + 3x = 102

Solving
30 + 3x = 102

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 3x = 102 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 102 + -30
3x = 102 + -30

Combine like terms: 102 + -30 = 72
3x = 72

Divide each side by '3'.
x = 24

Simplifying
x = 24

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