4x+9-2x=9+3x-6

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Solution for 4x+9-2x=9+3x-6 equation:


Simplifying
4x + 9 + -2x = 9 + 3x + -6

Reorder the terms:
9 + 4x + -2x = 9 + 3x + -6

Combine like terms: 4x + -2x = 2x
9 + 2x = 9 + 3x + -6

Reorder the terms:
9 + 2x = 9 + -6 + 3x

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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