9x-27=2x-6

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Solution for 9x-27=2x-6 equation:


Simplifying
9x + -27 = 2x + -6

Reorder the terms:
-27 + 9x = 2x + -6

Reorder the terms:
-27 + 9x = -6 + 2x

Solving
-27 + 9x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + 9x + -2x = -6 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-27 + 7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 7x = -6 + 0
-27 + 7x = -6

Add '27' to each side of the equation.
-27 + 27 + 7x = -6 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = -6 + 27
7x = -6 + 27

Combine like terms: -6 + 27 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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