2x+(x-6)+x=102

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Solution for 2x+(x-6)+x=102 equation:


Simplifying
2x + (x + -6) + x = 102

Reorder the terms:
2x + (-6 + x) + x = 102

Remove parenthesis around (-6 + x)
2x + -6 + x + x = 102

Reorder the terms:
-6 + 2x + x + x = 102

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

Combine like terms: 3x + x = 4x
-6 + 4x = 102

Solving
-6 + 4x = 102

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 102 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 102 + 6
4x = 102 + 6

Combine like terms: 102 + 6 = 108
4x = 108

Divide each side by '4'.
x = 27

Simplifying
x = 27

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