(3x-7)+6y+(2y-11)=180

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Solution for (3x-7)+6y+(2y-11)=180 equation:


Simplifying
(3x + -7) + 6y + (2y + -11) = 180

Reorder the terms:
(-7 + 3x) + 6y + (2y + -11) = 180

Remove parenthesis around (-7 + 3x)
-7 + 3x + 6y + (2y + -11) = 180

Reorder the terms:
-7 + 3x + 6y + (-11 + 2y) = 180

Remove parenthesis around (-11 + 2y)
-7 + 3x + 6y + -11 + 2y = 180

Reorder the terms:
-7 + -11 + 3x + 6y + 2y = 180

Combine like terms: -7 + -11 = -18
-18 + 3x + 6y + 2y = 180

Combine like terms: 6y + 2y = 8y
-18 + 3x + 8y = 180

Solving
-18 + 3x + 8y = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 3x + 18 + 8y = 180 + 18

Reorder the terms:
-18 + 18 + 3x + 8y = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 3x + 8y = 180 + 18
3x + 8y = 180 + 18

Combine like terms: 180 + 18 = 198
3x + 8y = 198

Add '-8y' to each side of the equation.
3x + 8y + -8y = 198 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 198 + -8y
3x = 198 + -8y

Divide each side by '3'.
x = 66 + -2.666666667y

Simplifying
x = 66 + -2.666666667y

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