2x+9-x=12-3x+21

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Solution for 2x+9-x=12-3x+21 equation:


Simplifying
2x + 9 + -1x = 12 + -3x + 21

Reorder the terms:
9 + 2x + -1x = 12 + -3x + 21

Combine like terms: 2x + -1x = 1x
9 + 1x = 12 + -3x + 21

Reorder the terms:
9 + 1x = 12 + 21 + -3x

Combine like terms: 12 + 21 = 33
9 + 1x = 33 + -3x

Solving
9 + 1x = 33 + -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 + 1x + 3x = 33 + -3x + 3x

Combine like terms: 1x + 3x = 4x
9 + 4x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 4x = 33 + 0
9 + 4x = 33

Add '-9' to each side of the equation.
9 + -9 + 4x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 33 + -9
4x = 33 + -9

Combine like terms: 33 + -9 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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