(x-8)+(x+8)+(3x-11)+(2x+7)+(x)=360

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Solution for (x-8)+(x+8)+(3x-11)+(2x+7)+(x)=360 equation: 


Simplifying
(x + -8) + (x + 8) + (3x + -11) + (2x + 7) + (x) = 360

Reorder the terms:
(-8 + x) + (x + 8) + (3x + -11) + (2x + 7) + (x) = 360

Remove parenthesis around (-8 + x)
-8 + x + (x + 8) + (3x + -11) + (2x + 7) + (x) = 360

Reorder the terms:
-8 + x + (8 + x) + (3x + -11) + (2x + 7) + (x) = 360

Remove parenthesis around (8 + x)
-8 + x + 8 + x + (3x + -11) + (2x + 7) + (x) = 360

Reorder the terms:
-8 + x + 8 + x + (-11 + 3x) + (2x + 7) + (x) = 360

Remove parenthesis around (-11 + 3x)
-8 + x + 8 + x + -11 + 3x + (2x + 7) + (x) = 360

Reorder the terms:
-8 + x + 8 + x + -11 + 3x + (7 + 2x) + (x) = 360

Remove parenthesis around (7 + 2x)
-8 + x + 8 + x + -11 + 3x + 7 + 2x + (x) = 360
-8 + x + 8 + x + -11 + 3x + 7 + 2x + x = 360

Reorder the terms:
-8 + 8 + -11 + 7 + x + x + 3x + 2x + x = 360

Combine like terms: -8 + 8 = 0
0 + -11 + 7 + x + x + 3x + 2x + x = 360
-11 + 7 + x + x + 3x + 2x + x = 360

Combine like terms: -11 + 7 = -4
-4 + x + x + 3x + 2x + x = 360

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

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

Combine like terms: 5x + 2x = 7x
-4 + 7x + x = 360

Combine like terms: 7x + x = 8x
-4 + 8x = 360

Solving
-4 + 8x = 360

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 360 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 360 + 4
8x = 360 + 4

Combine like terms: 360 + 4 = 364
8x = 364

Divide each side by '8'.
x = 45.5

Simplifying
x = 45.5

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