(x+2)+(2x+3)+(2x-9)+(3x+5)+(5x-6)=360

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Solution for (x+2)+(2x+3)+(2x-9)+(3x+5)+(5x-6)=360 equation:


Simplifying
(x + 2) + (2x + 3) + (2x + -9) + (3x + 5) + (5x + -6) = 360

Reorder the terms:
(2 + x) + (2x + 3) + (2x + -9) + (3x + 5) + (5x + -6) = 360

Remove parenthesis around (2 + x)
2 + x + (2x + 3) + (2x + -9) + (3x + 5) + (5x + -6) = 360

Reorder the terms:
2 + x + (3 + 2x) + (2x + -9) + (3x + 5) + (5x + -6) = 360

Remove parenthesis around (3 + 2x)
2 + x + 3 + 2x + (2x + -9) + (3x + 5) + (5x + -6) = 360

Reorder the terms:
2 + x + 3 + 2x + (-9 + 2x) + (3x + 5) + (5x + -6) = 360

Remove parenthesis around (-9 + 2x)
2 + x + 3 + 2x + -9 + 2x + (3x + 5) + (5x + -6) = 360

Reorder the terms:
2 + x + 3 + 2x + -9 + 2x + (5 + 3x) + (5x + -6) = 360

Remove parenthesis around (5 + 3x)
2 + x + 3 + 2x + -9 + 2x + 5 + 3x + (5x + -6) = 360

Reorder the terms:
2 + x + 3 + 2x + -9 + 2x + 5 + 3x + (-6 + 5x) = 360

Remove parenthesis around (-6 + 5x)
2 + x + 3 + 2x + -9 + 2x + 5 + 3x + -6 + 5x = 360

Reorder the terms:
2 + 3 + -9 + 5 + -6 + x + 2x + 2x + 3x + 5x = 360

Combine like terms: 2 + 3 = 5
5 + -9 + 5 + -6 + x + 2x + 2x + 3x + 5x = 360

Combine like terms: 5 + -9 = -4
-4 + 5 + -6 + x + 2x + 2x + 3x + 5x = 360

Combine like terms: -4 + 5 = 1
1 + -6 + x + 2x + 2x + 3x + 5x = 360

Combine like terms: 1 + -6 = -5
-5 + x + 2x + 2x + 3x + 5x = 360

Combine like terms: x + 2x = 3x
-5 + 3x + 2x + 3x + 5x = 360

Combine like terms: 3x + 2x = 5x
-5 + 5x + 3x + 5x = 360

Combine like terms: 5x + 3x = 8x
-5 + 8x + 5x = 360

Combine like terms: 8x + 5x = 13x
-5 + 13x = 360

Solving
-5 + 13x = 360

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 13x = 360 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = 360 + 5
13x = 360 + 5

Combine like terms: 360 + 5 = 365
13x = 365

Divide each side by '13'.
x = 28.07692308

Simplifying
x = 28.07692308

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