(8x-8)+(7y+2)+(6y+16)+(6x+14)=360

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Solution for (8x-8)+(7y+2)+(6y+16)+(6x+14)=360 equation:


Simplifying
(8x + -8) + (7y + 2) + (6y + 16) + (6x + 14) = 360

Reorder the terms:
(-8 + 8x) + (7y + 2) + (6y + 16) + (6x + 14) = 360

Remove parenthesis around (-8 + 8x)
-8 + 8x + (7y + 2) + (6y + 16) + (6x + 14) = 360

Reorder the terms:
-8 + 8x + (2 + 7y) + (6y + 16) + (6x + 14) = 360

Remove parenthesis around (2 + 7y)
-8 + 8x + 2 + 7y + (6y + 16) + (6x + 14) = 360

Reorder the terms:
-8 + 8x + 2 + 7y + (16 + 6y) + (6x + 14) = 360

Remove parenthesis around (16 + 6y)
-8 + 8x + 2 + 7y + 16 + 6y + (6x + 14) = 360

Reorder the terms:
-8 + 8x + 2 + 7y + 16 + 6y + (14 + 6x) = 360

Remove parenthesis around (14 + 6x)
-8 + 8x + 2 + 7y + 16 + 6y + 14 + 6x = 360

Reorder the terms:
-8 + 2 + 16 + 14 + 8x + 6x + 7y + 6y = 360

Combine like terms: -8 + 2 = -6
-6 + 16 + 14 + 8x + 6x + 7y + 6y = 360

Combine like terms: -6 + 16 = 10
10 + 14 + 8x + 6x + 7y + 6y = 360

Combine like terms: 10 + 14 = 24
24 + 8x + 6x + 7y + 6y = 360

Combine like terms: 8x + 6x = 14x
24 + 14x + 7y + 6y = 360

Combine like terms: 7y + 6y = 13y
24 + 14x + 13y = 360

Solving
24 + 14x + 13y = 360

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + 14x + -24 + 13y = 360 + -24

Reorder the terms:
24 + -24 + 14x + 13y = 360 + -24

Combine like terms: 24 + -24 = 0
0 + 14x + 13y = 360 + -24
14x + 13y = 360 + -24

Combine like terms: 360 + -24 = 336
14x + 13y = 336

Add '-13y' to each side of the equation.
14x + 13y + -13y = 336 + -13y

Combine like terms: 13y + -13y = 0
14x + 0 = 336 + -13y
14x = 336 + -13y

Divide each side by '14'.
x = 24 + -0.9285714286y

Simplifying
x = 24 + -0.9285714286y

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