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

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

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

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

Reorder the terms:
6 + 4x = 3(-3 + x)
6 + 4x = (-3 * 3 + x * 3)
6 + 4x = (-9 + 3x)

Solving
6 + 4x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = -9 + 0
6 + 1x = -9

Add '-6' to each side of the equation.
6 + -6 + 1x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -9 + -6
1x = -9 + -6

Combine like terms: -9 + -6 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15