2(3-2x)-3(x+1)=0

Solution for 2(3-2x)-3(x+1)=0 equation:

Simplifying
2(3 + -2x) + -3(x + 1) = 0
(3 * 2 + -2x * 2) + -3(x + 1) = 0
(6 + -4x) + -3(x + 1) = 0

Reorder the terms:
6 + -4x + -3(1 + x) = 0
6 + -4x + (1 * -3 + x * -3) = 0
6 + -4x + (-3 + -3x) = 0

Reorder the terms:
6 + -3 + -4x + -3x = 0

Combine like terms: 6 + -3 = 3
3 + -4x + -3x = 0

Combine like terms: -4x + -3x = -7x
3 + -7x = 0

Solving
3 + -7x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286