(6y+7)+(7x+24)+(5x)=360

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Solution for (6y+7)+(7x+24)+(5x)=360 equation:


Simplifying
(6y + 7) + (7x + 24) + (5x) = 360

Reorder the terms:
(7 + 6y) + (7x + 24) + (5x) = 360

Remove parenthesis around (7 + 6y)
7 + 6y + (7x + 24) + (5x) = 360

Reorder the terms:
7 + 6y + (24 + 7x) + (5x) = 360

Remove parenthesis around (24 + 7x)
7 + 6y + 24 + 7x + (5x) = 360

Reorder the terms:
7 + 24 + 7x + (5x) + 6y = 360

Combine like terms: 7 + 24 = 31
31 + 7x + (5x) + 6y = 360

Combine like terms: 7x + (5x) = 12x
31 + 12x + 6y = 360

Solving
31 + 12x + 6y = 360

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + 12x + -31 + 6y = 360 + -31

Reorder the terms:
31 + -31 + 12x + 6y = 360 + -31

Combine like terms: 31 + -31 = 0
0 + 12x + 6y = 360 + -31
12x + 6y = 360 + -31

Combine like terms: 360 + -31 = 329
12x + 6y = 329

Add '-6y' to each side of the equation.
12x + 6y + -6y = 329 + -6y

Combine like terms: 6y + -6y = 0
12x + 0 = 329 + -6y
12x = 329 + -6y

Divide each side by '12'.
x = 27.41666667 + -0.5y

Simplifying
x = 27.41666667 + -0.5y

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