(x-5)+(x-6)+(2x-7)+(x)+(2x-2)=540

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Solution for (x-5)+(x-6)+(2x-7)+(x)+(2x-2)=540 equation: 


Simplifying
(x + -5) + (x + -6) + (2x + -7) + (x) + (2x + -2) = 540

Reorder the terms:
(-5 + x) + (x + -6) + (2x + -7) + (x) + (2x + -2) = 540

Remove parenthesis around (-5 + x)
-5 + x + (x + -6) + (2x + -7) + (x) + (2x + -2) = 540

Reorder the terms:
-5 + x + (-6 + x) + (2x + -7) + (x) + (2x + -2) = 540

Remove parenthesis around (-6 + x)
-5 + x + -6 + x + (2x + -7) + (x) + (2x + -2) = 540

Reorder the terms:
-5 + x + -6 + x + (-7 + 2x) + (x) + (2x + -2) = 540

Remove parenthesis around (-7 + 2x)
-5 + x + -6 + x + -7 + 2x + (x) + (2x + -2) = 540
-5 + x + -6 + x + -7 + 2x + x + (2x + -2) = 540

Reorder the terms:
-5 + x + -6 + x + -7 + 2x + x + (-2 + 2x) = 540

Remove parenthesis around (-2 + 2x)
-5 + x + -6 + x + -7 + 2x + x + -2 + 2x = 540

Reorder the terms:
-5 + -6 + -7 + -2 + x + x + 2x + x + 2x = 540

Combine like terms: -5 + -6 = -11
-11 + -7 + -2 + x + x + 2x + x + 2x = 540

Combine like terms: -11 + -7 = -18
-18 + -2 + x + x + 2x + x + 2x = 540

Combine like terms: -18 + -2 = -20
-20 + x + x + 2x + x + 2x = 540

Combine like terms: x + x = 2x
-20 + 2x + 2x + x + 2x = 540

Combine like terms: 2x + 2x = 4x
-20 + 4x + x + 2x = 540

Combine like terms: 4x + x = 5x
-20 + 5x + 2x = 540

Combine like terms: 5x + 2x = 7x
-20 + 7x = 540

Solving
-20 + 7x = 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 + 7x = 540 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 540 + 20
7x = 540 + 20

Combine like terms: 540 + 20 = 560
7x = 560

Divide each side by '7'.
x = 80

Simplifying
x = 80

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