9(3x+6)=(x-2)

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Solution for 9(3x+6)=(x-2) equation:


Simplifying
9(3x + 6) = (x + -2)

Reorder the terms:
9(6 + 3x) = (x + -2)
(6 * 9 + 3x * 9) = (x + -2)
(54 + 27x) = (x + -2)

Reorder the terms:
54 + 27x = (-2 + x)

Remove parenthesis around (-2 + x)
54 + 27x = -2 + x

Solving
54 + 27x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
54 + 27x + -1x = -2 + x + -1x

Combine like terms: 27x + -1x = 26x
54 + 26x = -2 + x + -1x

Combine like terms: x + -1x = 0
54 + 26x = -2 + 0
54 + 26x = -2

Add '-54' to each side of the equation.
54 + -54 + 26x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 26x = -2 + -54
26x = -2 + -54

Combine like terms: -2 + -54 = -56
26x = -56

Divide each side by '26'.
x = -2.153846154

Simplifying
x = -2.153846154

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