(x+20)+(x+30)+(x+40)+(x)+(x+10)=540

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Solution for (x+20)+(x+30)+(x+40)+(x)+(x+10)=540 equation: 


Simplifying
(x + 20) + (x + 30) + (x + 40) + (x) + (x + 10) = 540

Reorder the terms:
(20 + x) + (x + 30) + (x + 40) + (x) + (x + 10) = 540

Remove parenthesis around (20 + x)
20 + x + (x + 30) + (x + 40) + (x) + (x + 10) = 540

Reorder the terms:
20 + x + (30 + x) + (x + 40) + (x) + (x + 10) = 540

Remove parenthesis around (30 + x)
20 + x + 30 + x + (x + 40) + (x) + (x + 10) = 540

Reorder the terms:
20 + x + 30 + x + (40 + x) + (x) + (x + 10) = 540

Remove parenthesis around (40 + x)
20 + x + 30 + x + 40 + x + (x) + (x + 10) = 540
20 + x + 30 + x + 40 + x + x + (x + 10) = 540

Reorder the terms:
20 + x + 30 + x + 40 + x + x + (10 + x) = 540

Remove parenthesis around (10 + x)
20 + x + 30 + x + 40 + x + x + 10 + x = 540

Reorder the terms:
20 + 30 + 40 + 10 + x + x + x + x + x = 540

Combine like terms: 20 + 30 = 50
50 + 40 + 10 + x + x + x + x + x = 540

Combine like terms: 50 + 40 = 90
90 + 10 + x + x + x + x + x = 540

Combine like terms: 90 + 10 = 100
100 + x + x + x + x + x = 540

Combine like terms: x + x = 2x
100 + 2x + x + x + x = 540

Combine like terms: 2x + x = 3x
100 + 3x + x + x = 540

Combine like terms: 3x + x = 4x
100 + 4x + x = 540

Combine like terms: 4x + x = 5x
100 + 5x = 540

Solving
100 + 5x = 540

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 5x = 540 + -100

Combine like terms: 100 + -100 = 0
0 + 5x = 540 + -100
5x = 540 + -100

Combine like terms: 540 + -100 = 440
5x = 440

Divide each side by '5'.
x = 88

Simplifying
x = 88

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