(x+20)+(x+40)+(x+60)+(x+80)+(x)=540

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Solution for (x+20)+(x+40)+(x+60)+(x+80)+(x)=540 equation: 


Simplifying
(x + 20) + (x + 40) + (x + 60) + (x + 80) + (x) = 540

Reorder the terms:
(20 + x) + (x + 40) + (x + 60) + (x + 80) + (x) = 540

Remove parenthesis around (20 + x)
20 + x + (x + 40) + (x + 60) + (x + 80) + (x) = 540

Reorder the terms:
20 + x + (40 + x) + (x + 60) + (x + 80) + (x) = 540

Remove parenthesis around (40 + x)
20 + x + 40 + x + (x + 60) + (x + 80) + (x) = 540

Reorder the terms:
20 + x + 40 + x + (60 + x) + (x + 80) + (x) = 540

Remove parenthesis around (60 + x)
20 + x + 40 + x + 60 + x + (x + 80) + (x) = 540

Reorder the terms:
20 + x + 40 + x + 60 + x + (80 + x) + (x) = 540

Remove parenthesis around (80 + x)
20 + x + 40 + x + 60 + x + 80 + x + (x) = 540
20 + x + 40 + x + 60 + x + 80 + x + x = 540

Reorder the terms:
20 + 40 + 60 + 80 + x + x + x + x + x = 540

Combine like terms: 20 + 40 = 60
60 + 60 + 80 + x + x + x + x + x = 540

Combine like terms: 60 + 60 = 120
120 + 80 + x + x + x + x + x = 540

Combine like terms: 120 + 80 = 200
200 + x + x + x + x + x = 540

Combine like terms: x + x = 2x
200 + 2x + x + x + x = 540

Combine like terms: 2x + x = 3x
200 + 3x + x + x = 540

Combine like terms: 3x + x = 4x
200 + 4x + x = 540

Combine like terms: 4x + x = 5x
200 + 5x = 540

Solving
200 + 5x = 540

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + 5x = 540 + -200

Combine like terms: 200 + -200 = 0
0 + 5x = 540 + -200
5x = 540 + -200

Combine like terms: 540 + -200 = 340
5x = 340

Divide each side by '5'.
x = 68

Simplifying
x = 68

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