2[2x(4-3)]=3(6-2)

Solution for 2[2x(4-3)]=3(6-2) equation:

Simplifying
2[2x(4 + -3)] = 3(6 + -2)

Combine like terms: 4 + -3 = 1
2[2x(1)] = 3(6 + -2)

Reorder the terms for easier multiplication:
2[2 * 1x] = 3(6 + -2)

Multiply 2 * 1
2[2x] = 3(6 + -2)

Remove brackets around [2x]
2 * 2x = 3(6 + -2)

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

Combine like terms: 6 + -2 = 4
4x = 3(4)

Multiply 3 * 4
4x = 12

Solving
4x = 12

Solving for variable 'x'.

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

Divide each side by '4'.
x = 3

Simplifying
x = 3