(4x-50)+(2x+30)+(y)=180

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Solution for (4x-50)+(2x+30)+(y)=180 equation:


Simplifying
(4x + -50) + (2x + 30) + (y) = 180

Reorder the terms:
(-50 + 4x) + (2x + 30) + (y) = 180

Remove parenthesis around (-50 + 4x)
-50 + 4x + (2x + 30) + (y) = 180

Reorder the terms:
-50 + 4x + (30 + 2x) + (y) = 180

Remove parenthesis around (30 + 2x)
-50 + 4x + 30 + 2x + (y) = 180
-50 + 4x + 30 + 2x + y = 180

Reorder the terms:
-50 + 30 + 4x + 2x + y = 180

Combine like terms: -50 + 30 = -20
-20 + 4x + 2x + y = 180

Combine like terms: 4x + 2x = 6x
-20 + 6x + y = 180

Solving
-20 + 6x + y = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 6x + 20 + y = 180 + 20

Reorder the terms:
-20 + 20 + 6x + y = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 6x + y = 180 + 20
6x + y = 180 + 20

Combine like terms: 180 + 20 = 200
6x + y = 200

Add '-1y' to each side of the equation.
6x + y + -1y = 200 + -1y

Combine like terms: y + -1y = 0
6x + 0 = 200 + -1y
6x = 200 + -1y

Divide each side by '6'.
x = 33.33333333 + -0.1666666667y

Simplifying
x = 33.33333333 + -0.1666666667y

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