9(x+2)=3x-6

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


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

Reorder the terms:
9(2 + x) = 3x + -6
(2 * 9 + x * 9) = 3x + -6
(18 + 9x) = 3x + -6

Reorder the terms:
18 + 9x = -6 + 3x

Solving
18 + 9x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 9x + -3x = -6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
18 + 6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 6x = -6 + 0
18 + 6x = -6

Add '-18' to each side of the equation.
18 + -18 + 6x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = -6 + -18
6x = -6 + -18

Combine like terms: -6 + -18 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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