2y+(4x-100)+(x+5)+(3y+30)=360

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Solution for 2y+(4x-100)+(x+5)+(3y+30)=360 equation:


Simplifying
2y + (4x + -100) + (x + 5) + (3y + 30) = 360

Reorder the terms:
2y + (-100 + 4x) + (x + 5) + (3y + 30) = 360

Remove parenthesis around (-100 + 4x)
2y + -100 + 4x + (x + 5) + (3y + 30) = 360

Reorder the terms:
2y + -100 + 4x + (5 + x) + (3y + 30) = 360

Remove parenthesis around (5 + x)
2y + -100 + 4x + 5 + x + (3y + 30) = 360

Reorder the terms:
2y + -100 + 4x + 5 + x + (30 + 3y) = 360

Remove parenthesis around (30 + 3y)
2y + -100 + 4x + 5 + x + 30 + 3y = 360

Reorder the terms:
-100 + 5 + 30 + 4x + x + 2y + 3y = 360

Combine like terms: -100 + 5 = -95
-95 + 30 + 4x + x + 2y + 3y = 360

Combine like terms: -95 + 30 = -65
-65 + 4x + x + 2y + 3y = 360

Combine like terms: 4x + x = 5x
-65 + 5x + 2y + 3y = 360

Combine like terms: 2y + 3y = 5y
-65 + 5x + 5y = 360

Solving
-65 + 5x + 5y = 360

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 5x + 65 + 5y = 360 + 65

Reorder the terms:
-65 + 65 + 5x + 5y = 360 + 65

Combine like terms: -65 + 65 = 0
0 + 5x + 5y = 360 + 65
5x + 5y = 360 + 65

Combine like terms: 360 + 65 = 425
5x + 5y = 425

Add '-5y' to each side of the equation.
5x + 5y + -5y = 425 + -5y

Combine like terms: 5y + -5y = 0
5x + 0 = 425 + -5y
5x = 425 + -5y

Divide each side by '5'.
x = 85 + -1y

Simplifying
x = 85 + -1y

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