(5x+4)+(3x-24)+2y=180

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Solution for (5x+4)+(3x-24)+2y=180 equation:


Simplifying
(5x + 4) + (3x + -24) + 2y = 180

Reorder the terms:
(4 + 5x) + (3x + -24) + 2y = 180

Remove parenthesis around (4 + 5x)
4 + 5x + (3x + -24) + 2y = 180

Reorder the terms:
4 + 5x + (-24 + 3x) + 2y = 180

Remove parenthesis around (-24 + 3x)
4 + 5x + -24 + 3x + 2y = 180

Reorder the terms:
4 + -24 + 5x + 3x + 2y = 180

Combine like terms: 4 + -24 = -20
-20 + 5x + 3x + 2y = 180

Combine like terms: 5x + 3x = 8x
-20 + 8x + 2y = 180

Solving
-20 + 8x + 2y = 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 + 8x + 20 + 2y = 180 + 20

Reorder the terms:
-20 + 20 + 8x + 2y = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 8x + 2y = 180 + 20
8x + 2y = 180 + 20

Combine like terms: 180 + 20 = 200
8x + 2y = 200

Add '-2y' to each side of the equation.
8x + 2y + -2y = 200 + -2y

Combine like terms: 2y + -2y = 0
8x + 0 = 200 + -2y
8x = 200 + -2y

Divide each side by '8'.
x = 25 + -0.25y

Simplifying
x = 25 + -0.25y

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