6-3[4-(7x-2)]=0

Solution for 6-3[4-(7x-2)]=0 equation:

Simplifying
6 + -3[4 + -1(7x + -2)] = 0

Reorder the terms:
6 + -3[4 + -1(-2 + 7x)] = 0
6 + -3[4 + (-2 * -1 + 7x * -1)] = 0
6 + -3[4 + (2 + -7x)] = 0

Combine like terms: 4 + 2 = 6
6 + -3[6 + -7x] = 0
6 + [6 * -3 + -7x * -3] = 0
6 + [-18 + 21x] = 0

Combine like terms: 6 + -18 = -12
-12 + 21x = 0

Solving
-12 + 21x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 21x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 21x = 0 + 12
21x = 0 + 12

Combine like terms: 0 + 12 = 12
21x = 12

Divide each side by '21'.
x = 0.5714285714

Simplifying
x = 0.5714285714