x+6x+y+x+5y=180

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Solution for x+6x+y+x+5y=180 equation:


Simplifying
x + 6x + y + x + 5y = 180

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

Combine like terms: x + 6x = 7x
7x + x + y + 5y = 180

Combine like terms: 7x + x = 8x
8x + y + 5y = 180

Combine like terms: y + 5y = 6y
8x + 6y = 180

Solving
8x + 6y = 180

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
8x + 6y + -6y = 180 + -6y

Combine like terms: 6y + -6y = 0
8x + 0 = 180 + -6y
8x = 180 + -6y

Divide each side by '8'.
x = 22.5 + -0.75y

Simplifying
x = 22.5 + -0.75y

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