(y-40)+(x-20)+(x+10)=180

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Solution for (y-40)+(x-20)+(x+10)=180 equation:


Simplifying
(y + -40) + (x + -20) + (x + 10) = 180

Reorder the terms:
(-40 + y) + (x + -20) + (x + 10) = 180

Remove parenthesis around (-40 + y)
-40 + y + (x + -20) + (x + 10) = 180

Reorder the terms:
-40 + y + (-20 + x) + (x + 10) = 180

Remove parenthesis around (-20 + x)
-40 + y + -20 + x + (x + 10) = 180

Reorder the terms:
-40 + y + -20 + x + (10 + x) = 180

Remove parenthesis around (10 + x)
-40 + y + -20 + x + 10 + x = 180

Reorder the terms:
-40 + -20 + 10 + x + x + y = 180

Combine like terms: -40 + -20 = -60
-60 + 10 + x + x + y = 180

Combine like terms: -60 + 10 = -50
-50 + x + x + y = 180

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

Solving
-50 + 2x + y = 180

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 2x + 50 + y = 180 + 50

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

Combine like terms: -50 + 50 = 0
0 + 2x + y = 180 + 50
2x + y = 180 + 50

Combine like terms: 180 + 50 = 230
2x + y = 230

Add '-1y' to each side of the equation.
2x + y + -1y = 230 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 230 + -1y
2x = 230 + -1y

Divide each side by '2'.
x = 115 + -0.5y

Simplifying
x = 115 + -0.5y

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