4(x+y)+2+8y-2x=180

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Solution for 4(x+y)+2+8y-2x=180 equation: 


Simplifying
4(x + y) + 2 + 8y + -2x = 180
(x * 4 + y * 4) + 2 + 8y + -2x = 180
(4x + 4y) + 2 + 8y + -2x = 180

Reorder the terms:
2 + 4x + -2x + 4y + 8y = 180

Combine like terms: 4x + -2x = 2x
2 + 2x + 4y + 8y = 180

Combine like terms: 4y + 8y = 12y
2 + 2x + 12y = 180

Solving
2 + 2x + 12y = 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 + 12y = 180 + -2

Reorder the terms:
2 + -2 + 2x + 12y = 180 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 12y = 180 + -2
2x + 12y = 180 + -2

Combine like terms: 180 + -2 = 178
2x + 12y = 178

Add '-12y' to each side of the equation.
2x + 12y + -12y = 178 + -12y

Combine like terms: 12y + -12y = 0
2x + 0 = 178 + -12y
2x = 178 + -12y

Divide each side by '2'.
x = 89 + -6y

Simplifying
x = 89 + -6y

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