(3x+y+10)+(x+y)=180

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Solution for (3x+y+10)+(x+y)=180 equation:


Simplifying
(3x + y + 10) + (x + y) = 180

Reorder the terms:
(10 + 3x + y) + (x + y) = 180

Remove parenthesis around (10 + 3x + y)
10 + 3x + y + (x + y) = 180

Remove parenthesis around (x + y)
10 + 3x + y + x + y = 180

Reorder the terms:
10 + 3x + x + y + y = 180

Combine like terms: 3x + x = 4x
10 + 4x + y + y = 180

Combine like terms: y + y = 2y
10 + 4x + 2y = 180

Solving
10 + 4x + 2y = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 4x + -10 + 2y = 180 + -10

Reorder the terms:
10 + -10 + 4x + 2y = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 4x + 2y = 180 + -10
4x + 2y = 180 + -10

Combine like terms: 180 + -10 = 170
4x + 2y = 170

Add '-2y' to each side of the equation.
4x + 2y + -2y = 170 + -2y

Combine like terms: 2y + -2y = 0
4x + 0 = 170 + -2y
4x = 170 + -2y

Divide each side by '4'.
x = 42.5 + -0.5y

Simplifying
x = 42.5 + -0.5y

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