3x+6=3(3x+6)

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


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

Reorder the terms:
6 + 3x = 3(3x + 6)

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

Solving
6 + 3x = 18 + 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.
6 + 3x + -9x = 18 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
6 + -6x = 18 + 0
6 + -6x = 18

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

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

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

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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