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

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


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

Reorder the terms:
6(6 + x) = 9(x + -6)
(6 * 6 + x * 6) = 9(x + -6)
(36 + 6x) = 9(x + -6)

Reorder the terms:
36 + 6x = 9(-6 + x)
36 + 6x = (-6 * 9 + x * 9)
36 + 6x = (-54 + 9x)

Solving
36 + 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.
36 + 6x + -9x = -54 + 9x + -9x

Combine like terms: 6x + -9x = -3x
36 + -3x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -3x = -54 + 0
36 + -3x = -54

Add '-36' to each side of the equation.
36 + -36 + -3x = -54 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = -54 + -36
-3x = -54 + -36

Combine like terms: -54 + -36 = -90
-3x = -90

Divide each side by '-3'.
x = 30

Simplifying
x = 30

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