2(3-2x)=-3(x+1)

Solution for 2(3-2x)=-3(x+1) equation:

Simplifying
2(3 + -2x) = -3(x + 1)
(3 * 2 + -2x * 2) = -3(x + 1)
(6 + -4x) = -3(x + 1)

Reorder the terms:
6 + -4x = -3(1 + x)
6 + -4x = (1 * -3 + x * -3)
6 + -4x = (-3 + -3x)

Solving
6 + -4x = -3 + -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 = -3 + -3x + 3x

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

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

Add '-6' to each side of the equation.
6 + -6 + -1x = -3 + -6

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9