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

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


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

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

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

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

Combine like terms: 3x + 3x = 6x
6x + 5y + -2y = 180

Combine like terms: 5y + -2y = 3y
6x + 3y = 180

Solving
6x + 3y = 180

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
6x + 3y + -3y = 180 + -3y

Combine like terms: 3y + -3y = 0
6x + 0 = 180 + -3y
6x = 180 + -3y

Divide each side by '6'.
x = 30 + -0.5y

Simplifying
x = 30 + -0.5y

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