2(x+20)+4(x+y)=180

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Solution for 2(x+20)+4(x+y)=180 equation: 


Simplifying
2(x + 20) + 4(x + y) = 180

Reorder the terms:
2(20 + x) + 4(x + y) = 180
(20 * 2 + x * 2) + 4(x + y) = 180
(40 + 2x) + 4(x + y) = 180
40 + 2x + (x * 4 + y * 4) = 180
40 + 2x + (4x + 4y) = 180

Combine like terms: 2x + 4x = 6x
40 + 6x + 4y = 180

Solving
40 + 6x + 4y = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + 6x + -40 + 4y = 180 + -40

Reorder the terms:
40 + -40 + 6x + 4y = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 6x + 4y = 180 + -40
6x + 4y = 180 + -40

Combine like terms: 180 + -40 = 140
6x + 4y = 140

Add '-4y' to each side of the equation.
6x + 4y + -4y = 140 + -4y

Combine like terms: 4y + -4y = 0
6x + 0 = 140 + -4y
6x = 140 + -4y

Divide each side by '6'.
x = 23.33333333 + -0.6666666667y

Simplifying
x = 23.33333333 + -0.6666666667y

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