2x+6=3x-9

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


Simplifying
2x + 6 = 3x + -9

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

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

Solving
6 + 2x = -9 + 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.
6 + 2x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -1x = -9 + 0
6 + -1x = -9

Add '-6' to each side of the equation.
6 + -6 + -1x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -9 + -6
-1x = -9 + -6

Combine like terms: -9 + -6 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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