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

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


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

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

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

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

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

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

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

Combine like terms: y + y = 2y
-2 + 2x + 2y = 180

Solving
-2 + 2x + 2y = 180

Solving for variable 'x'.

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

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

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

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

Combine like terms: 180 + 2 = 182
2x + 2y = 182

Add '-2y' to each side of the equation.
2x + 2y + -2y = 182 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 182 + -2y
2x = 182 + -2y

Divide each side by '2'.
x = 91 + -1y

Simplifying
x = 91 + -1y

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