2[2x(4-3)]=-3x(6-1)

Solution for 2[2x(4-3)]=-3x(6-1) equation:

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

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

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

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

Remove brackets around [2x]
2 * 2x = -3x(6 + -1)

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

Combine like terms: 6 + -1 = 5
4x = -3x(5)

Reorder the terms for easier multiplication:
4x = -3 * 5x

Multiply -3 * 5
4x = -15x

Solving
4x = -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
4x + 15x = -15x + 15x

Combine like terms: 4x + 15x = 19x
19x = -15x + 15x

Combine like terms: -15x + 15x = 0
19x = 0

Divide each side by '19'.
x = 0

Simplifying
x = 0