9=(x-3y)+(2x+3y)

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Solution for 9=(x-3y)+(2x+3y) equation:


Simplifying
9 = (x + -3y) + (2x + 3y)

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

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

Reorder the terms:
9 = x + 2x + -3y + 3y

Combine like terms: x + 2x = 3x
9 = 3x + -3y + 3y

Combine like terms: -3y + 3y = 0
9 = 3x + 0
9 = 3x

Solving
9 = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -3x = 0

Add '-9' to each side of the equation.
9 + -9 + -3x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 0 + -9
-3x = 0 + -9

Combine like terms: 0 + -9 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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