x+(x+5)+(x+10)+(x+15)+(x+20)+(x+25)=200

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Solution for x+(x+5)+(x+10)+(x+15)+(x+20)+(x+25)=200 equation:


Simplifying
x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) = 200

Reorder the terms:
x + (5 + x) + (x + 10) + (x + 15) + (x + 20) + (x + 25) = 200

Remove parenthesis around (5 + x)
x + 5 + x + (x + 10) + (x + 15) + (x + 20) + (x + 25) = 200

Reorder the terms:
x + 5 + x + (10 + x) + (x + 15) + (x + 20) + (x + 25) = 200

Remove parenthesis around (10 + x)
x + 5 + x + 10 + x + (x + 15) + (x + 20) + (x + 25) = 200

Reorder the terms:
x + 5 + x + 10 + x + (15 + x) + (x + 20) + (x + 25) = 200

Remove parenthesis around (15 + x)
x + 5 + x + 10 + x + 15 + x + (x + 20) + (x + 25) = 200

Reorder the terms:
x + 5 + x + 10 + x + 15 + x + (20 + x) + (x + 25) = 200

Remove parenthesis around (20 + x)
x + 5 + x + 10 + x + 15 + x + 20 + x + (x + 25) = 200

Reorder the terms:
x + 5 + x + 10 + x + 15 + x + 20 + x + (25 + x) = 200

Remove parenthesis around (25 + x)
x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x = 200

Reorder the terms:
5 + 10 + 15 + 20 + 25 + x + x + x + x + x + x = 200

Combine like terms: 5 + 10 = 15
15 + 15 + 20 + 25 + x + x + x + x + x + x = 200

Combine like terms: 15 + 15 = 30
30 + 20 + 25 + x + x + x + x + x + x = 200

Combine like terms: 30 + 20 = 50
50 + 25 + x + x + x + x + x + x = 200

Combine like terms: 50 + 25 = 75
75 + x + x + x + x + x + x = 200

Combine like terms: x + x = 2x
75 + 2x + x + x + x + x = 200

Combine like terms: 2x + x = 3x
75 + 3x + x + x + x = 200

Combine like terms: 3x + x = 4x
75 + 4x + x + x = 200

Combine like terms: 4x + x = 5x
75 + 5x + x = 200

Combine like terms: 5x + x = 6x
75 + 6x = 200

Solving
75 + 6x = 200

Solving for variable 'x'.

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

Add '-75' to each side of the equation.
75 + -75 + 6x = 200 + -75

Combine like terms: 75 + -75 = 0
0 + 6x = 200 + -75
6x = 200 + -75

Combine like terms: 200 + -75 = 125
6x = 125

Divide each side by '6'.
x = 20.83333333

Simplifying
x = 20.83333333

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