(2x-y)+(4y+12)+(3x+3y)=180

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Solution for (2x-y)+(4y+12)+(3x+3y)=180 equation:


Simplifying
(2x + -1y) + (4y + 12) + (3x + 3y) = 180

Remove parenthesis around (2x + -1y)
2x + -1y + (4y + 12) + (3x + 3y) = 180

Reorder the terms:
2x + -1y + (12 + 4y) + (3x + 3y) = 180

Remove parenthesis around (12 + 4y)
2x + -1y + 12 + 4y + (3x + 3y) = 180

Remove parenthesis around (3x + 3y)
2x + -1y + 12 + 4y + 3x + 3y = 180

Reorder the terms:
12 + 2x + 3x + -1y + 4y + 3y = 180

Combine like terms: 2x + 3x = 5x
12 + 5x + -1y + 4y + 3y = 180

Combine like terms: -1y + 4y = 3y
12 + 5x + 3y + 3y = 180

Combine like terms: 3y + 3y = 6y
12 + 5x + 6y = 180

Solving
12 + 5x + 6y = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 5x + -12 + 6y = 180 + -12

Reorder the terms:
12 + -12 + 5x + 6y = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 5x + 6y = 180 + -12
5x + 6y = 180 + -12

Combine like terms: 180 + -12 = 168
5x + 6y = 168

Add '-6y' to each side of the equation.
5x + 6y + -6y = 168 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 168 + -6y
5x = 168 + -6y

Divide each side by '5'.
x = 33.6 + -1.2y

Simplifying
x = 33.6 + -1.2y

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