6x+9=3x-x+21

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Solution for 6x+9=3x-x+21 equation:


Simplifying
6x + 9 = 3x + -1x + 21

Reorder the terms:
9 + 6x = 3x + -1x + 21

Reorder the terms:
9 + 6x = 21 + 3x + -1x

Combine like terms: 3x + -1x = 2x
9 + 6x = 21 + 2x

Solving
9 + 6x = 21 + 2x

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 + 6x + -2x = 21 + 2x + -2x

Combine like terms: 6x + -2x = 4x
9 + 4x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 4x = 21 + 0
9 + 4x = 21

Add '-9' to each side of the equation.
9 + -9 + 4x = 21 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 21 + -9
4x = 21 + -9

Combine like terms: 21 + -9 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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