X+(X+2)+(X+4)+(X+6)=84

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Solution for X+(X+2)+(X+4)+(X+6)=84 equation:


Simplifying
X + (X + 2) + (X + 4) + (X + 6) = 84

Reorder the terms:
X + (2 + X) + (X + 4) + (X + 6) = 84

Remove parenthesis around (2 + X)
X + 2 + X + (X + 4) + (X + 6) = 84

Reorder the terms:
X + 2 + X + (4 + X) + (X + 6) = 84

Remove parenthesis around (4 + X)
X + 2 + X + 4 + X + (X + 6) = 84

Reorder the terms:
X + 2 + X + 4 + X + (6 + X) = 84

Remove parenthesis around (6 + X)
X + 2 + X + 4 + X + 6 + X = 84

Reorder the terms:
2 + 4 + 6 + X + X + X + X = 84

Combine like terms: 2 + 4 = 6
6 + 6 + X + X + X + X = 84

Combine like terms: 6 + 6 = 12
12 + X + X + X + X = 84

Combine like terms: X + X = 2X
12 + 2X + X + X = 84

Combine like terms: 2X + X = 3X
12 + 3X + X = 84

Combine like terms: 3X + X = 4X
12 + 4X = 84

Solving
12 + 4X = 84

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -12 + 4X = 84 + -12

Combine like terms: 12 + -12 = 0
0 + 4X = 84 + -12
4X = 84 + -12

Combine like terms: 84 + -12 = 72
4X = 72

Divide each side by '4'.
X = 18

Simplifying
X = 18

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