2x+3y+(x-12)+(y+20)=360

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Solution for 2x+3y+(x-12)+(y+20)=360 equation:


Simplifying
2x + 3y + (x + -12) + (y + 20) = 360

Reorder the terms:
2x + 3y + (-12 + x) + (y + 20) = 360

Remove parenthesis around (-12 + x)
2x + 3y + -12 + x + (y + 20) = 360

Reorder the terms:
2x + 3y + -12 + x + (20 + y) = 360

Remove parenthesis around (20 + y)
2x + 3y + -12 + x + 20 + y = 360

Reorder the terms:
-12 + 20 + 2x + x + 3y + y = 360

Combine like terms: -12 + 20 = 8
8 + 2x + x + 3y + y = 360

Combine like terms: 2x + x = 3x
8 + 3x + 3y + y = 360

Combine like terms: 3y + y = 4y
8 + 3x + 4y = 360

Solving
8 + 3x + 4y = 360

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + 3x + -8 + 4y = 360 + -8

Reorder the terms:
8 + -8 + 3x + 4y = 360 + -8

Combine like terms: 8 + -8 = 0
0 + 3x + 4y = 360 + -8
3x + 4y = 360 + -8

Combine like terms: 360 + -8 = 352
3x + 4y = 352

Add '-4y' to each side of the equation.
3x + 4y + -4y = 352 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 352 + -4y
3x = 352 + -4y

Divide each side by '3'.
x = 117.3333333 + -1.333333333y

Simplifying
x = 117.3333333 + -1.333333333y

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