(3x+y)+80+(x+y)=180

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Solution for (3x+y)+80+(x+y)=180 equation: 


Simplifying
(3x + y) + 80 + (x + y) = 180

Remove parenthesis around (3x + y)
3x + y + 80 + (x + y) = 180

Remove parenthesis around (x + y)
3x + y + 80 + x + y = 180

Reorder the terms:
80 + 3x + x + y + y = 180

Combine like terms: 3x + x = 4x
80 + 4x + y + y = 180

Combine like terms: y + y = 2y
80 + 4x + 2y = 180

Solving
80 + 4x + 2y = 180

Solving for variable 'x'.

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

Add '-80' to each side of the equation.
80 + 4x + -80 + 2y = 180 + -80

Reorder the terms:
80 + -80 + 4x + 2y = 180 + -80

Combine like terms: 80 + -80 = 0
0 + 4x + 2y = 180 + -80
4x + 2y = 180 + -80

Combine like terms: 180 + -80 = 100
4x + 2y = 100

Add '-2y' to each side of the equation.
4x + 2y + -2y = 100 + -2y

Combine like terms: 2y + -2y = 0
4x + 0 = 100 + -2y
4x = 100 + -2y

Divide each side by '4'.
x = 25 + -0.5y

Simplifying
x = 25 + -0.5y

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