3(2-X)=2(2X-3)

Solution for 3(2-X)=2(2X-3) equation:

Simplifying
3(2 + -1X) = 2(2X + -3)
(2 * 3 + -1X * 3) = 2(2X + -3)
(6 + -3X) = 2(2X + -3)

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

Solving
6 + -3X = -6 + 4X

Solving for variable 'X'.

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

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

Combine like terms: -3X + -4X = -7X
6 + -7X = -6 + 4X + -4X

Combine like terms: 4X + -4X = 0
6 + -7X = -6 + 0
6 + -7X = -6

Add '-6' to each side of the equation.
6 + -6 + -7X = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -7X = -6 + -6
-7X = -6 + -6

Combine like terms: -6 + -6 = -12
-7X = -12

Divide each side by '-7'.
X = 1.714285714

Simplifying
X = 1.714285714