3x+y+2x+y+2+x+3y=180

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Solution for 3x+y+2x+y+2+x+3y=180 equation:


Simplifying
3x + y + 2x + y + 2 + x + 3y = 180

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

Combine like terms: 3x + 2x = 5x
2 + 5x + x + y + y + 3y = 180

Combine like terms: 5x + x = 6x
2 + 6x + y + y + 3y = 180

Combine like terms: y + y = 2y
2 + 6x + 2y + 3y = 180

Combine like terms: 2y + 3y = 5y
2 + 6x + 5y = 180

Solving
2 + 6x + 5y = 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 + 6x + -2 + 5y = 180 + -2

Reorder the terms:
2 + -2 + 6x + 5y = 180 + -2

Combine like terms: 2 + -2 = 0
0 + 6x + 5y = 180 + -2
6x + 5y = 180 + -2

Combine like terms: 180 + -2 = 178
6x + 5y = 178

Add '-5y' to each side of the equation.
6x + 5y + -5y = 178 + -5y

Combine like terms: 5y + -5y = 0
6x + 0 = 178 + -5y
6x = 178 + -5y

Divide each side by '6'.
x = 29.66666667 + -0.8333333333y

Simplifying
x = 29.66666667 + -0.8333333333y

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