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

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

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

Reorder the terms:
2(3 + 2x) = 3(2x + 2)
(3 * 2 + 2x * 2) = 3(2x + 2)
(6 + 4x) = 3(2x + 2)

Reorder the terms:
6 + 4x = 3(2 + 2x)
6 + 4x = (2 * 3 + 2x * 3)
6 + 4x = (6 + 6x)

Add '-6' to each side of the equation.
6 + -6 + 4x = 6 + -6 + 6x

Combine like terms: 6 + -6 = 0
0 + 4x = 6 + -6 + 6x
4x = 6 + -6 + 6x

Combine like terms: 6 + -6 = 0
4x = 0 + 6x
4x = 6x

Solving
4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = 6x + -6x

Combine like terms: 4x + -6x = -2x
-2x = 6x + -6x

Combine like terms: 6x + -6x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0