3x-2[6x-3]=42

Solution for 3x-2[6x-3]=42 equation:

Simplifying
3x + -2[6x + -3] = 42

Reorder the terms:
3x + -2[-3 + 6x] = 42
3x + [-3 * -2 + 6x * -2] = 42
3x + [6 + -12x] = 42

Reorder the terms:
6 + 3x + -12x = 42

Combine like terms: 3x + -12x = -9x
6 + -9x = 42

Solving
6 + -9x = 42

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 42 + -6
-9x = 42 + -6

Combine like terms: 42 + -6 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4