9(x+3)=3x-3

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


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

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

Reorder the terms:
27 + 9x = -3 + 3x

Solving
27 + 9x = -3 + 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.
27 + 9x + -3x = -3 + 3x + -3x

Combine like terms: 9x + -3x = 6x
27 + 6x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + 6x = -3 + 0
27 + 6x = -3

Add '-27' to each side of the equation.
27 + -27 + 6x = -3 + -27

Combine like terms: 27 + -27 = 0
0 + 6x = -3 + -27
6x = -3 + -27

Combine like terms: -3 + -27 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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