(2x+7)+(12y+1)+(3x-7)=180

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Solution for (2x+7)+(12y+1)+(3x-7)=180 equation:


Simplifying
(2x + 7) + (12y + 1) + (3x + -7) = 180

Reorder the terms:
(7 + 2x) + (12y + 1) + (3x + -7) = 180

Remove parenthesis around (7 + 2x)
7 + 2x + (12y + 1) + (3x + -7) = 180

Reorder the terms:
7 + 2x + (1 + 12y) + (3x + -7) = 180

Remove parenthesis around (1 + 12y)
7 + 2x + 1 + 12y + (3x + -7) = 180

Reorder the terms:
7 + 2x + 1 + 12y + (-7 + 3x) = 180

Remove parenthesis around (-7 + 3x)
7 + 2x + 1 + 12y + -7 + 3x = 180

Reorder the terms:
7 + 1 + -7 + 2x + 3x + 12y = 180

Combine like terms: 7 + 1 = 8
8 + -7 + 2x + 3x + 12y = 180

Combine like terms: 8 + -7 = 1
1 + 2x + 3x + 12y = 180

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

Solving
1 + 5x + 12y = 180

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 5x + -1 + 12y = 180 + -1

Reorder the terms:
1 + -1 + 5x + 12y = 180 + -1

Combine like terms: 1 + -1 = 0
0 + 5x + 12y = 180 + -1
5x + 12y = 180 + -1

Combine like terms: 180 + -1 = 179
5x + 12y = 179

Add '-12y' to each side of the equation.
5x + 12y + -12y = 179 + -12y

Combine like terms: 12y + -12y = 0
5x + 0 = 179 + -12y
5x = 179 + -12y

Divide each side by '5'.
x = 35.8 + -2.4y

Simplifying
x = 35.8 + -2.4y

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