5x-12=6x-9

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Solution for 5x-12=6x-9 equation:


Simplifying
5x + -12 = 6x + -9

Reorder the terms:
-12 + 5x = 6x + -9

Reorder the terms:
-12 + 5x = -9 + 6x

Solving
-12 + 5x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 5x + -6x = -9 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-12 + -1x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -1x = -9 + 0
-12 + -1x = -9

Add '12' to each side of the equation.
-12 + 12 + -1x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -9 + 12
-1x = -9 + 12

Combine like terms: -9 + 12 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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