x+(x+2)+(x+6)+(x+12)+(x+20)=55

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Solution for x+(x+2)+(x+6)+(x+12)+(x+20)=55 equation: 


Simplifying
x + (x + 2) + (x + 6) + (x + 12) + (x + 20) = 55

Reorder the terms:
x + (2 + x) + (x + 6) + (x + 12) + (x + 20) = 55

Remove parenthesis around (2 + x)
x + 2 + x + (x + 6) + (x + 12) + (x + 20) = 55

Reorder the terms:
x + 2 + x + (6 + x) + (x + 12) + (x + 20) = 55

Remove parenthesis around (6 + x)
x + 2 + x + 6 + x + (x + 12) + (x + 20) = 55

Reorder the terms:
x + 2 + x + 6 + x + (12 + x) + (x + 20) = 55

Remove parenthesis around (12 + x)
x + 2 + x + 6 + x + 12 + x + (x + 20) = 55

Reorder the terms:
x + 2 + x + 6 + x + 12 + x + (20 + x) = 55

Remove parenthesis around (20 + x)
x + 2 + x + 6 + x + 12 + x + 20 + x = 55

Reorder the terms:
2 + 6 + 12 + 20 + x + x + x + x + x = 55

Combine like terms: 2 + 6 = 8
8 + 12 + 20 + x + x + x + x + x = 55

Combine like terms: 8 + 12 = 20
20 + 20 + x + x + x + x + x = 55

Combine like terms: 20 + 20 = 40
40 + x + x + x + x + x = 55

Combine like terms: x + x = 2x
40 + 2x + x + x + x = 55

Combine like terms: 2x + x = 3x
40 + 3x + x + x = 55

Combine like terms: 3x + x = 4x
40 + 4x + x = 55

Combine like terms: 4x + x = 5x
40 + 5x = 55

Solving
40 + 5x = 55

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 5x = 55 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 55 + -40
5x = 55 + -40

Combine like terms: 55 + -40 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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