(3x+8)+(5x+4y)+(5x-20)=180

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Solution for (3x+8)+(5x+4y)+(5x-20)=180 equation:


Simplifying
(3x + 8) + (5x + 4y) + (5x + -20) = 180

Reorder the terms:
(8 + 3x) + (5x + 4y) + (5x + -20) = 180

Remove parenthesis around (8 + 3x)
8 + 3x + (5x + 4y) + (5x + -20) = 180

Remove parenthesis around (5x + 4y)
8 + 3x + 5x + 4y + (5x + -20) = 180

Reorder the terms:
8 + 3x + 5x + 4y + (-20 + 5x) = 180

Remove parenthesis around (-20 + 5x)
8 + 3x + 5x + 4y + -20 + 5x = 180

Reorder the terms:
8 + -20 + 3x + 5x + 5x + 4y = 180

Combine like terms: 8 + -20 = -12
-12 + 3x + 5x + 5x + 4y = 180

Combine like terms: 3x + 5x = 8x
-12 + 8x + 5x + 4y = 180

Combine like terms: 8x + 5x = 13x
-12 + 13x + 4y = 180

Solving
-12 + 13x + 4y = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 13x + 12 + 4y = 180 + 12

Reorder the terms:
-12 + 12 + 13x + 4y = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 13x + 4y = 180 + 12
13x + 4y = 180 + 12

Combine like terms: 180 + 12 = 192
13x + 4y = 192

Add '-4y' to each side of the equation.
13x + 4y + -4y = 192 + -4y

Combine like terms: 4y + -4y = 0
13x + 0 = 192 + -4y
13x = 192 + -4y

Divide each side by '13'.
x = 14.76923077 + -0.3076923077y

Simplifying
x = 14.76923077 + -0.3076923077y

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