2x+9=3+5x-6

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Solution for 2x+9=3+5x-6 equation:


Simplifying
2x + 9 = 3 + 5x + -6

Reorder the terms:
9 + 2x = 3 + 5x + -6

Reorder the terms:
9 + 2x = 3 + -6 + 5x

Combine like terms: 3 + -6 = -3
9 + 2x = -3 + 5x

Solving
9 + 2x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 2x + -5x = -3 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = -3 + 0
9 + -3x = -3

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

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

Combine like terms: -3 + -9 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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