(4x+10y)+(11x+5y)=180

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Solution for (4x+10y)+(11x+5y)=180 equation:


Simplifying
(4x + 10y) + (11x + 5y) = 180

Remove parenthesis around (4x + 10y)
4x + 10y + (11x + 5y) = 180

Remove parenthesis around (11x + 5y)
4x + 10y + 11x + 5y = 180

Reorder the terms:
4x + 11x + 10y + 5y = 180

Combine like terms: 4x + 11x = 15x
15x + 10y + 5y = 180

Combine like terms: 10y + 5y = 15y
15x + 15y = 180

Solving
15x + 15y = 180

Solving for variable 'x'.

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

Add '-15y' to each side of the equation.
15x + 15y + -15y = 180 + -15y

Combine like terms: 15y + -15y = 0
15x + 0 = 180 + -15y
15x = 180 + -15y

Divide each side by '15'.
x = 12 + -1y

Simplifying
x = 12 + -1y

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