2x+3y+21=3x+2y-6

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Solution for 2x+3y+21=3x+2y-6 equation:


Simplifying
2x + 3y + 21 = 3x + 2y + -6

Reorder the terms:
21 + 2x + 3y = 3x + 2y + -6

Reorder the terms:
21 + 2x + 3y = -6 + 3x + 2y

Solving
21 + 2x + 3y = -6 + 3x + 2y

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.
21 + 2x + -3x + 3y = -6 + 3x + -3x + 2y

Combine like terms: 2x + -3x = -1x
21 + -1x + 3y = -6 + 3x + -3x + 2y

Combine like terms: 3x + -3x = 0
21 + -1x + 3y = -6 + 0 + 2y
21 + -1x + 3y = -6 + 2y

Add '-21' to each side of the equation.
21 + -1x + -21 + 3y = -6 + -21 + 2y

Reorder the terms:
21 + -21 + -1x + 3y = -6 + -21 + 2y

Combine like terms: 21 + -21 = 0
0 + -1x + 3y = -6 + -21 + 2y
-1x + 3y = -6 + -21 + 2y

Combine like terms: -6 + -21 = -27
-1x + 3y = -27 + 2y

Add '-3y' to each side of the equation.
-1x + 3y + -3y = -27 + 2y + -3y

Combine like terms: 3y + -3y = 0
-1x + 0 = -27 + 2y + -3y
-1x = -27 + 2y + -3y

Combine like terms: 2y + -3y = -1y
-1x = -27 + -1y

Divide each side by '-1'.
x = 27 + y

Simplifying
x = 27 + y

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