(7x+4y)+(5x+4y)=180

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Solution for (7x+4y)+(5x+4y)=180 equation:


Simplifying
(7x + 4y) + (5x + 4y) = 180

Remove parenthesis around (7x + 4y)
7x + 4y + (5x + 4y) = 180

Remove parenthesis around (5x + 4y)
7x + 4y + 5x + 4y = 180

Reorder the terms:
7x + 5x + 4y + 4y = 180

Combine like terms: 7x + 5x = 12x
12x + 4y + 4y = 180

Combine like terms: 4y + 4y = 8y
12x + 8y = 180

Solving
12x + 8y = 180

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
12x + 8y + -8y = 180 + -8y

Combine like terms: 8y + -8y = 0
12x + 0 = 180 + -8y
12x = 180 + -8y

Divide each side by '12'.
x = 15 + -0.6666666667y

Simplifying
x = 15 + -0.6666666667y

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