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

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


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

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

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

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

Combine like terms: 5x + 5x = 10x
-20 + 10x + 4y = 180

Solving
-20 + 10x + 4y = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 10x + 20 + 4y = 180 + 20

Reorder the terms:
-20 + 20 + 10x + 4y = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10x + 4y = 180 + 20
10x + 4y = 180 + 20

Combine like terms: 180 + 20 = 200
10x + 4y = 200

Add '-4y' to each side of the equation.
10x + 4y + -4y = 200 + -4y

Combine like terms: 4y + -4y = 0
10x + 0 = 200 + -4y
10x = 200 + -4y

Divide each side by '10'.
x = 20 + -0.4y

Simplifying
x = 20 + -0.4y

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