3(3x-4)=3x+6

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Solution for 3(3x-4)=3x+6 equation:


Simplifying
3(3x + -4) = 3x + 6

Reorder the terms:
3(-4 + 3x) = 3x + 6
(-4 * 3 + 3x * 3) = 3x + 6
(-12 + 9x) = 3x + 6

Reorder the terms:
-12 + 9x = 6 + 3x

Solving
-12 + 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.
-12 + 9x + -3x = 6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-12 + 6x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 6x = 6 + 0
-12 + 6x = 6

Add '12' to each side of the equation.
-12 + 12 + 6x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 6 + 12
6x = 6 + 12

Combine like terms: 6 + 12 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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