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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
100 = 60 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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