(x+35)+(x-18)+(2x+6)+(x+46)+(x-9)=540

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Solution for (x+35)+(x-18)+(2x+6)+(x+46)+(x-9)=540 equation:


Simplifying
(x + 35) + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540

Reorder the terms:
(35 + x) + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540

Remove parenthesis around (35 + x)
35 + x + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540

Reorder the terms:
35 + x + (-18 + x) + (2x + 6) + (x + 46) + (x + -9) = 540

Remove parenthesis around (-18 + x)
35 + x + -18 + x + (2x + 6) + (x + 46) + (x + -9) = 540

Reorder the terms:
35 + x + -18 + x + (6 + 2x) + (x + 46) + (x + -9) = 540

Remove parenthesis around (6 + 2x)
35 + x + -18 + x + 6 + 2x + (x + 46) + (x + -9) = 540

Reorder the terms:
35 + x + -18 + x + 6 + 2x + (46 + x) + (x + -9) = 540

Remove parenthesis around (46 + x)
35 + x + -18 + x + 6 + 2x + 46 + x + (x + -9) = 540

Reorder the terms:
35 + x + -18 + x + 6 + 2x + 46 + x + (-9 + x) = 540

Remove parenthesis around (-9 + x)
35 + x + -18 + x + 6 + 2x + 46 + x + -9 + x = 540

Reorder the terms:
35 + -18 + 6 + 46 + -9 + x + x + 2x + x + x = 540

Combine like terms: 35 + -18 = 17
17 + 6 + 46 + -9 + x + x + 2x + x + x = 540

Combine like terms: 17 + 6 = 23
23 + 46 + -9 + x + x + 2x + x + x = 540

Combine like terms: 23 + 46 = 69
69 + -9 + x + x + 2x + x + x = 540

Combine like terms: 69 + -9 = 60
60 + x + x + 2x + x + x = 540

Combine like terms: x + x = 2x
60 + 2x + 2x + x + x = 540

Combine like terms: 2x + 2x = 4x
60 + 4x + x + x = 540

Combine like terms: 4x + x = 5x
60 + 5x + x = 540

Combine like terms: 5x + x = 6x
60 + 6x = 540

Solving
60 + 6x = 540

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 6x = 540 + -60

Combine like terms: 60 + -60 = 0
0 + 6x = 540 + -60
6x = 540 + -60

Combine like terms: 540 + -60 = 480
6x = 480

Divide each side by '6'.
x = 80

Simplifying
x = 80

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