(5x+11)+(5x+11)+(8x-19)+(8x-19)=360

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Solution for (5x+11)+(5x+11)+(8x-19)+(8x-19)=360 equation:


Simplifying
(5x + 11) + (5x + 11) + (8x + -19) + (8x + -19) = 360

Reorder the terms:
(11 + 5x) + (5x + 11) + (8x + -19) + (8x + -19) = 360

Remove parenthesis around (11 + 5x)
11 + 5x + (5x + 11) + (8x + -19) + (8x + -19) = 360

Reorder the terms:
11 + 5x + (11 + 5x) + (8x + -19) + (8x + -19) = 360

Remove parenthesis around (11 + 5x)
11 + 5x + 11 + 5x + (8x + -19) + (8x + -19) = 360

Reorder the terms:
11 + 5x + 11 + 5x + (-19 + 8x) + (8x + -19) = 360

Remove parenthesis around (-19 + 8x)
11 + 5x + 11 + 5x + -19 + 8x + (8x + -19) = 360

Reorder the terms:
11 + 5x + 11 + 5x + -19 + 8x + (-19 + 8x) = 360

Remove parenthesis around (-19 + 8x)
11 + 5x + 11 + 5x + -19 + 8x + -19 + 8x = 360

Reorder the terms:
11 + 11 + -19 + -19 + 5x + 5x + 8x + 8x = 360

Combine like terms: 11 + 11 = 22
22 + -19 + -19 + 5x + 5x + 8x + 8x = 360

Combine like terms: 22 + -19 = 3
3 + -19 + 5x + 5x + 8x + 8x = 360

Combine like terms: 3 + -19 = -16
-16 + 5x + 5x + 8x + 8x = 360

Combine like terms: 5x + 5x = 10x
-16 + 10x + 8x + 8x = 360

Combine like terms: 10x + 8x = 18x
-16 + 18x + 8x = 360

Combine like terms: 18x + 8x = 26x
-16 + 26x = 360

Solving
-16 + 26x = 360

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 26x = 360 + 16

Combine like terms: -16 + 16 = 0
0 + 26x = 360 + 16
26x = 360 + 16

Combine like terms: 360 + 16 = 376
26x = 376

Divide each side by '26'.
x = 14.46153846

Simplifying
x = 14.46153846

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