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

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

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

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

Remove parenthesis around (3x)
6 + 6x = 3 * 3x

Multiply 3 * 3
6 + 6x = 9x

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -3x = 0 + -6

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2