(4x+5)+(4x+5)+(3y-20)+(3y-20)=360

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Solution for (4x+5)+(4x+5)+(3y-20)+(3y-20)=360 equation:


Simplifying
(4x + 5) + (4x + 5) + (3y + -20) + (3y + -20) = 360

Reorder the terms:
(5 + 4x) + (4x + 5) + (3y + -20) + (3y + -20) = 360

Remove parenthesis around (5 + 4x)
5 + 4x + (4x + 5) + (3y + -20) + (3y + -20) = 360

Reorder the terms:
5 + 4x + (5 + 4x) + (3y + -20) + (3y + -20) = 360

Remove parenthesis around (5 + 4x)
5 + 4x + 5 + 4x + (3y + -20) + (3y + -20) = 360

Reorder the terms:
5 + 4x + 5 + 4x + (-20 + 3y) + (3y + -20) = 360

Remove parenthesis around (-20 + 3y)
5 + 4x + 5 + 4x + -20 + 3y + (3y + -20) = 360

Reorder the terms:
5 + 4x + 5 + 4x + -20 + 3y + (-20 + 3y) = 360

Remove parenthesis around (-20 + 3y)
5 + 4x + 5 + 4x + -20 + 3y + -20 + 3y = 360

Reorder the terms:
5 + 5 + -20 + -20 + 4x + 4x + 3y + 3y = 360

Combine like terms: 5 + 5 = 10
10 + -20 + -20 + 4x + 4x + 3y + 3y = 360

Combine like terms: 10 + -20 = -10
-10 + -20 + 4x + 4x + 3y + 3y = 360

Combine like terms: -10 + -20 = -30
-30 + 4x + 4x + 3y + 3y = 360

Combine like terms: 4x + 4x = 8x
-30 + 8x + 3y + 3y = 360

Combine like terms: 3y + 3y = 6y
-30 + 8x + 6y = 360

Solving
-30 + 8x + 6y = 360

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 8x + 30 + 6y = 360 + 30

Reorder the terms:
-30 + 30 + 8x + 6y = 360 + 30

Combine like terms: -30 + 30 = 0
0 + 8x + 6y = 360 + 30
8x + 6y = 360 + 30

Combine like terms: 360 + 30 = 390
8x + 6y = 390

Add '-6y' to each side of the equation.
8x + 6y + -6y = 390 + -6y

Combine like terms: 6y + -6y = 0
8x + 0 = 390 + -6y
8x = 390 + -6y

Divide each side by '8'.
x = 48.75 + -0.75y

Simplifying
x = 48.75 + -0.75y

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