(4x-8)+(3x+10)+(11x+2y)=180

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Solution for (4x-8)+(3x+10)+(11x+2y)=180 equation:


Simplifying
(4x + -8) + (3x + 10) + (11x + 2y) = 180

Reorder the terms:
(-8 + 4x) + (3x + 10) + (11x + 2y) = 180

Remove parenthesis around (-8 + 4x)
-8 + 4x + (3x + 10) + (11x + 2y) = 180

Reorder the terms:
-8 + 4x + (10 + 3x) + (11x + 2y) = 180

Remove parenthesis around (10 + 3x)
-8 + 4x + 10 + 3x + (11x + 2y) = 180

Remove parenthesis around (11x + 2y)
-8 + 4x + 10 + 3x + 11x + 2y = 180

Reorder the terms:
-8 + 10 + 4x + 3x + 11x + 2y = 180

Combine like terms: -8 + 10 = 2
2 + 4x + 3x + 11x + 2y = 180

Combine like terms: 4x + 3x = 7x
2 + 7x + 11x + 2y = 180

Combine like terms: 7x + 11x = 18x
2 + 18x + 2y = 180

Solving
2 + 18x + 2y = 180

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 18x + -2 + 2y = 180 + -2

Reorder the terms:
2 + -2 + 18x + 2y = 180 + -2

Combine like terms: 2 + -2 = 0
0 + 18x + 2y = 180 + -2
18x + 2y = 180 + -2

Combine like terms: 180 + -2 = 178
18x + 2y = 178

Add '-2y' to each side of the equation.
18x + 2y + -2y = 178 + -2y

Combine like terms: 2y + -2y = 0
18x + 0 = 178 + -2y
18x = 178 + -2y

Divide each side by '18'.
x = 9.888888889 + -0.1111111111y

Simplifying
x = 9.888888889 + -0.1111111111y

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