(4x-15)+(5x+11)+(6x+19)+(5x-15)=360

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Solution for (4x-15)+(5x+11)+(6x+19)+(5x-15)=360 equation:


Simplifying
(4x + -15) + (5x + 11) + (6x + 19) + (5x + -15) = 360

Reorder the terms:
(-15 + 4x) + (5x + 11) + (6x + 19) + (5x + -15) = 360

Remove parenthesis around (-15 + 4x)
-15 + 4x + (5x + 11) + (6x + 19) + (5x + -15) = 360

Reorder the terms:
-15 + 4x + (11 + 5x) + (6x + 19) + (5x + -15) = 360

Remove parenthesis around (11 + 5x)
-15 + 4x + 11 + 5x + (6x + 19) + (5x + -15) = 360

Reorder the terms:
-15 + 4x + 11 + 5x + (19 + 6x) + (5x + -15) = 360

Remove parenthesis around (19 + 6x)
-15 + 4x + 11 + 5x + 19 + 6x + (5x + -15) = 360

Reorder the terms:
-15 + 4x + 11 + 5x + 19 + 6x + (-15 + 5x) = 360

Remove parenthesis around (-15 + 5x)
-15 + 4x + 11 + 5x + 19 + 6x + -15 + 5x = 360

Reorder the terms:
-15 + 11 + 19 + -15 + 4x + 5x + 6x + 5x = 360

Combine like terms: -15 + 11 = -4
-4 + 19 + -15 + 4x + 5x + 6x + 5x = 360

Combine like terms: -4 + 19 = 15
15 + -15 + 4x + 5x + 6x + 5x = 360

Combine like terms: 15 + -15 = 0
0 + 4x + 5x + 6x + 5x = 360
4x + 5x + 6x + 5x = 360

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

Combine like terms: 9x + 6x = 15x
15x + 5x = 360

Combine like terms: 15x + 5x = 20x
20x = 360

Solving
20x = 360

Solving for variable 'x'.

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

Divide each side by '20'.
x = 18

Simplifying
x = 18

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