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

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


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

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

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

Solving
9 + 6x = -27 + 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 = -27 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
9 + -3x = -27 + 0
9 + -3x = -27

Add '-9' to each side of the equation.
9 + -9 + -3x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -27 + -9
-3x = -27 + -9

Combine like terms: -27 + -9 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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