3*(3x+2)=2*(6x-3)

Solution for 3*(3x+2)=2*(6x-3) equation:

Simplifying
3(3x + 2) = 2(6x + -3)

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

Reorder the terms:
6 + 9x = 2(-3 + 6x)
6 + 9x = (-3 * 2 + 6x * 2)
6 + 9x = (-6 + 12x)

Solving
6 + 9x = -6 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
6 + 9x + -12x = -6 + 12x + -12x

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

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

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

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

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4