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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
x = -2