2x-6=5x+9

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


Simplifying
2x + -6 = 5x + 9

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

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

Solving
-6 + 2x = 9 + 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.
-6 + 2x + -5x = 9 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-6 + -3x = 9 + 0
-6 + -3x = 9

Add '6' to each side of the equation.
-6 + 6 + -3x = 9 + 6

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

Combine like terms: 9 + 6 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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