(4x+5)+7x+(4x+10)+(5x-5)+(6x+10)=540

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Solution for (4x+5)+7x+(4x+10)+(5x-5)+(6x+10)=540 equation:


Simplifying
(4x + 5) + 7x + (4x + 10) + (5x + -5) + (6x + 10) = 540

Reorder the terms:
(5 + 4x) + 7x + (4x + 10) + (5x + -5) + (6x + 10) = 540

Remove parenthesis around (5 + 4x)
5 + 4x + 7x + (4x + 10) + (5x + -5) + (6x + 10) = 540

Reorder the terms:
5 + 4x + 7x + (10 + 4x) + (5x + -5) + (6x + 10) = 540

Remove parenthesis around (10 + 4x)
5 + 4x + 7x + 10 + 4x + (5x + -5) + (6x + 10) = 540

Reorder the terms:
5 + 4x + 7x + 10 + 4x + (-5 + 5x) + (6x + 10) = 540

Remove parenthesis around (-5 + 5x)
5 + 4x + 7x + 10 + 4x + -5 + 5x + (6x + 10) = 540

Reorder the terms:
5 + 4x + 7x + 10 + 4x + -5 + 5x + (10 + 6x) = 540

Remove parenthesis around (10 + 6x)
5 + 4x + 7x + 10 + 4x + -5 + 5x + 10 + 6x = 540

Reorder the terms:
5 + 10 + -5 + 10 + 4x + 7x + 4x + 5x + 6x = 540

Combine like terms: 5 + 10 = 15
15 + -5 + 10 + 4x + 7x + 4x + 5x + 6x = 540

Combine like terms: 15 + -5 = 10
10 + 10 + 4x + 7x + 4x + 5x + 6x = 540

Combine like terms: 10 + 10 = 20
20 + 4x + 7x + 4x + 5x + 6x = 540

Combine like terms: 4x + 7x = 11x
20 + 11x + 4x + 5x + 6x = 540

Combine like terms: 11x + 4x = 15x
20 + 15x + 5x + 6x = 540

Combine like terms: 15x + 5x = 20x
20 + 20x + 6x = 540

Combine like terms: 20x + 6x = 26x
20 + 26x = 540

Solving
20 + 26x = 540

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 26x = 540 + -20

Combine like terms: 20 + -20 = 0
0 + 26x = 540 + -20
26x = 540 + -20

Combine like terms: 540 + -20 = 520
26x = 520

Divide each side by '26'.
x = 20

Simplifying
x = 20

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