(2x+2y+1)+(6y+x-6)=180

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Solution for (2x+2y+1)+(6y+x-6)=180 equation:


Simplifying
(2x + 2y + 1) + (6y + x + -6) = 180

Reorder the terms:
(1 + 2x + 2y) + (6y + x + -6) = 180

Remove parenthesis around (1 + 2x + 2y)
1 + 2x + 2y + (6y + x + -6) = 180

Reorder the terms:
1 + 2x + 2y + (-6 + x + 6y) = 180

Remove parenthesis around (-6 + x + 6y)
1 + 2x + 2y + -6 + x + 6y = 180

Reorder the terms:
1 + -6 + 2x + x + 2y + 6y = 180

Combine like terms: 1 + -6 = -5
-5 + 2x + x + 2y + 6y = 180

Combine like terms: 2x + x = 3x
-5 + 3x + 2y + 6y = 180

Combine like terms: 2y + 6y = 8y
-5 + 3x + 8y = 180

Solving
-5 + 3x + 8y = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 3x + 5 + 8y = 180 + 5

Reorder the terms:
-5 + 5 + 3x + 8y = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 3x + 8y = 180 + 5
3x + 8y = 180 + 5

Combine like terms: 180 + 5 = 185
3x + 8y = 185

Add '-8y' to each side of the equation.
3x + 8y + -8y = 185 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 185 + -8y
3x = 185 + -8y

Divide each side by '3'.
x = 61.66666667 + -2.666666667y

Simplifying
x = 61.66666667 + -2.666666667y

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