3(x-2)=2(x-3)*2

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

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

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

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

Reorder the terms for easier multiplication:
-6 + 3x = 2 * 2(-3 + x)

Multiply 2 * 2
-6 + 3x = 4(-3 + x)
-6 + 3x = (-3 * 4 + x * 4)
-6 + 3x = (-12 + 4x)

Solving
-6 + 3x = -12 + 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 = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = -12 + 0
-6 + -1x = -12

Add '6' to each side of the equation.
-6 + 6 + -1x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -12 + 6
-1x = -12 + 6

Combine like terms: -12 + 6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6