x+(x+6)+(x+12)+(x+18)+(x+24)=100

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Solution for x+(x+6)+(x+12)+(x+18)+(x+24)=100 equation:


Simplifying
x + (x + 6) + (x + 12) + (x + 18) + (x + 24) = 100

Reorder the terms:
x + (6 + x) + (x + 12) + (x + 18) + (x + 24) = 100

Remove parenthesis around (6 + x)
x + 6 + x + (x + 12) + (x + 18) + (x + 24) = 100

Reorder the terms:
x + 6 + x + (12 + x) + (x + 18) + (x + 24) = 100

Remove parenthesis around (12 + x)
x + 6 + x + 12 + x + (x + 18) + (x + 24) = 100

Reorder the terms:
x + 6 + x + 12 + x + (18 + x) + (x + 24) = 100

Remove parenthesis around (18 + x)
x + 6 + x + 12 + x + 18 + x + (x + 24) = 100

Reorder the terms:
x + 6 + x + 12 + x + 18 + x + (24 + x) = 100

Remove parenthesis around (24 + x)
x + 6 + x + 12 + x + 18 + x + 24 + x = 100

Reorder the terms:
6 + 12 + 18 + 24 + x + x + x + x + x = 100

Combine like terms: 6 + 12 = 18
18 + 18 + 24 + x + x + x + x + x = 100

Combine like terms: 18 + 18 = 36
36 + 24 + x + x + x + x + x = 100

Combine like terms: 36 + 24 = 60
60 + x + x + x + x + x = 100

Combine like terms: x + x = 2x
60 + 2x + x + x + x = 100

Combine like terms: 2x + x = 3x
60 + 3x + x + x = 100

Combine like terms: 3x + x = 4x
60 + 4x + x = 100

Combine like terms: 4x + x = 5x
60 + 5x = 100

Solving
60 + 5x = 100

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 5x = 100 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 100 + -60
5x = 100 + -60

Combine like terms: 100 + -60 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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