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

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


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

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

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

Solving
-9 + 9x = 9 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-9 + 3x = 9 + 0
-9 + 3x = 9

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

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

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

Divide each side by '3'.
x = 6

Simplifying
x = 6

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