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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0