5x+5(y+11)+(4y-10)+90=180

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Solution for 5x+5(y+11)+(4y-10)+90=180 equation:


Simplifying
5x + 5(y + 11) + (4y + -10) + 90 = 180

Reorder the terms:
5x + 5(11 + y) + (4y + -10) + 90 = 180
5x + (11 * 5 + y * 5) + (4y + -10) + 90 = 180
5x + (55 + 5y) + (4y + -10) + 90 = 180

Reorder the terms:
5x + 55 + 5y + (-10 + 4y) + 90 = 180

Remove parenthesis around (-10 + 4y)
5x + 55 + 5y + -10 + 4y + 90 = 180

Reorder the terms:
55 + -10 + 90 + 5x + 5y + 4y = 180

Combine like terms: 55 + -10 = 45
45 + 90 + 5x + 5y + 4y = 180

Combine like terms: 45 + 90 = 135
135 + 5x + 5y + 4y = 180

Combine like terms: 5y + 4y = 9y
135 + 5x + 9y = 180

Solving
135 + 5x + 9y = 180

Solving for variable 'x'.

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

Add '-135' to each side of the equation.
135 + 5x + -135 + 9y = 180 + -135

Reorder the terms:
135 + -135 + 5x + 9y = 180 + -135

Combine like terms: 135 + -135 = 0
0 + 5x + 9y = 180 + -135
5x + 9y = 180 + -135

Combine like terms: 180 + -135 = 45
5x + 9y = 45

Add '-9y' to each side of the equation.
5x + 9y + -9y = 45 + -9y

Combine like terms: 9y + -9y = 0
5x + 0 = 45 + -9y
5x = 45 + -9y

Divide each side by '5'.
x = 9 + -1.8y

Simplifying
x = 9 + -1.8y

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