(5y+38)+(8x+26)+2(3x)=360

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Solution for (5y+38)+(8x+26)+2(3x)=360 equation:


Simplifying
(5y + 38) + (8x + 26) + 2(3x) = 360

Reorder the terms:
(38 + 5y) + (8x + 26) + 2(3x) = 360

Remove parenthesis around (38 + 5y)
38 + 5y + (8x + 26) + 2(3x) = 360

Reorder the terms:
38 + 5y + (26 + 8x) + 2(3x) = 360

Remove parenthesis around (26 + 8x)
38 + 5y + 26 + 8x + 2(3x) = 360

Remove parenthesis around (3x)
38 + 5y + 26 + 8x + 2 * 3x = 360

Multiply 2 * 3
38 + 5y + 26 + 8x + 6x = 360

Reorder the terms:
38 + 26 + 8x + 6x + 5y = 360

Combine like terms: 38 + 26 = 64
64 + 8x + 6x + 5y = 360

Combine like terms: 8x + 6x = 14x
64 + 14x + 5y = 360

Solving
64 + 14x + 5y = 360

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + 14x + -64 + 5y = 360 + -64

Reorder the terms:
64 + -64 + 14x + 5y = 360 + -64

Combine like terms: 64 + -64 = 0
0 + 14x + 5y = 360 + -64
14x + 5y = 360 + -64

Combine like terms: 360 + -64 = 296
14x + 5y = 296

Add '-5y' to each side of the equation.
14x + 5y + -5y = 296 + -5y

Combine like terms: 5y + -5y = 0
14x + 0 = 296 + -5y
14x = 296 + -5y

Divide each side by '14'.
x = 21.14285714 + -0.3571428571y

Simplifying
x = 21.14285714 + -0.3571428571y

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