(x+8y-1)+(3y+4)+(7x+5)=180

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Solution for (x+8y-1)+(3y+4)+(7x+5)=180 equation:


Simplifying
(x + 8y + -1) + (3y + 4) + (7x + 5) = 180

Reorder the terms:
(-1 + x + 8y) + (3y + 4) + (7x + 5) = 180

Remove parenthesis around (-1 + x + 8y)
-1 + x + 8y + (3y + 4) + (7x + 5) = 180

Reorder the terms:
-1 + x + 8y + (4 + 3y) + (7x + 5) = 180

Remove parenthesis around (4 + 3y)
-1 + x + 8y + 4 + 3y + (7x + 5) = 180

Reorder the terms:
-1 + x + 8y + 4 + 3y + (5 + 7x) = 180

Remove parenthesis around (5 + 7x)
-1 + x + 8y + 4 + 3y + 5 + 7x = 180

Reorder the terms:
-1 + 4 + 5 + x + 7x + 8y + 3y = 180

Combine like terms: -1 + 4 = 3
3 + 5 + x + 7x + 8y + 3y = 180

Combine like terms: 3 + 5 = 8
8 + x + 7x + 8y + 3y = 180

Combine like terms: x + 7x = 8x
8 + 8x + 8y + 3y = 180

Combine like terms: 8y + 3y = 11y
8 + 8x + 11y = 180

Solving
8 + 8x + 11y = 180

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + 8x + -8 + 11y = 180 + -8

Reorder the terms:
8 + -8 + 8x + 11y = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 8x + 11y = 180 + -8
8x + 11y = 180 + -8

Combine like terms: 180 + -8 = 172
8x + 11y = 172

Add '-11y' to each side of the equation.
8x + 11y + -11y = 172 + -11y

Combine like terms: 11y + -11y = 0
8x + 0 = 172 + -11y
8x = 172 + -11y

Divide each side by '8'.
x = 21.5 + -1.375y

Simplifying
x = 21.5 + -1.375y

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