-6x-9=9(x-6)

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Solution for -6x-9=9(x-6) equation:


Simplifying
-6x + -9 = 9(x + -6)

Reorder the terms:
-9 + -6x = 9(x + -6)

Reorder the terms:
-9 + -6x = 9(-6 + x)
-9 + -6x = (-6 * 9 + x * 9)
-9 + -6x = (-54 + 9x)

Solving
-9 + -6x = -54 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-9 + -6x + -9x = -54 + 9x + -9x

Combine like terms: -6x + -9x = -15x
-9 + -15x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -15x = -54 + 0
-9 + -15x = -54

Add '9' to each side of the equation.
-9 + 9 + -15x = -54 + 9

Combine like terms: -9 + 9 = 0
0 + -15x = -54 + 9
-15x = -54 + 9

Combine like terms: -54 + 9 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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