3x+3y+9=2x+y-4.5

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Solution for 3x+3y+9=2x+y-4.5 equation:


Simplifying
3x + 3y + 9 = 2x + y + -4.5

Reorder the terms:
9 + 3x + 3y = 2x + y + -4.5

Reorder the terms:
9 + 3x + 3y = -4.5 + 2x + y

Solving
9 + 3x + 3y = -4.5 + 2x + y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 3x + -2x + 3y = -4.5 + 2x + -2x + y

Combine like terms: 3x + -2x = 1x
9 + 1x + 3y = -4.5 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
9 + 1x + 3y = -4.5 + 0 + y
9 + 1x + 3y = -4.5 + y

Add '-9' to each side of the equation.
9 + 1x + -9 + 3y = -4.5 + -9 + y

Reorder the terms:
9 + -9 + 1x + 3y = -4.5 + -9 + y

Combine like terms: 9 + -9 = 0
0 + 1x + 3y = -4.5 + -9 + y
1x + 3y = -4.5 + -9 + y

Combine like terms: -4.5 + -9 = -13.5
1x + 3y = -13.5 + y

Add '-3y' to each side of the equation.
1x + 3y + -3y = -13.5 + y + -3y

Combine like terms: 3y + -3y = 0
1x + 0 = -13.5 + y + -3y
1x = -13.5 + y + -3y

Combine like terms: y + -3y = -2y
1x = -13.5 + -2y

Divide each side by '1'.
x = -13.5 + -2y

Simplifying
x = -13.5 + -2y

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