x+(x+20)+(x+5)+(x-5)+(x+10)=540

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Solution for x+(x+20)+(x+5)+(x-5)+(x+10)=540 equation: 


Simplifying
x + (x + 20) + (x + 5) + (x + -5) + (x + 10) = 540

Reorder the terms:
x + (20 + x) + (x + 5) + (x + -5) + (x + 10) = 540

Remove parenthesis around (20 + x)
x + 20 + x + (x + 5) + (x + -5) + (x + 10) = 540

Reorder the terms:
x + 20 + x + (5 + x) + (x + -5) + (x + 10) = 540

Remove parenthesis around (5 + x)
x + 20 + x + 5 + x + (x + -5) + (x + 10) = 540

Reorder the terms:
x + 20 + x + 5 + x + (-5 + x) + (x + 10) = 540

Remove parenthesis around (-5 + x)
x + 20 + x + 5 + x + -5 + x + (x + 10) = 540

Reorder the terms:
x + 20 + x + 5 + x + -5 + x + (10 + x) = 540

Remove parenthesis around (10 + x)
x + 20 + x + 5 + x + -5 + x + 10 + x = 540

Reorder the terms:
20 + 5 + -5 + 10 + x + x + x + x + x = 540

Combine like terms: 20 + 5 = 25
25 + -5 + 10 + x + x + x + x + x = 540

Combine like terms: 25 + -5 = 20
20 + 10 + x + x + x + x + x = 540

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

Combine like terms: x + x = 2x
30 + 2x + x + x + x = 540

Combine like terms: 2x + x = 3x
30 + 3x + x + x = 540

Combine like terms: 3x + x = 4x
30 + 4x + x = 540

Combine like terms: 4x + x = 5x
30 + 5x = 540

Solving
30 + 5x = 540

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 5x = 540 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 540 + -30
5x = 540 + -30

Combine like terms: 540 + -30 = 510
5x = 510

Divide each side by '5'.
x = 102

Simplifying
x = 102

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