6-[5-(3-x)]=0

Solution for 6-[5-(3-x)]=0 equation:

Simplifying
6 + -1[5 + -1(3 + -1x)] = 0
6 + -1[5 + (3 * -1 + -1x * -1)] = 0
6 + -1[5 + (-3 + 1x)] = 0

Combine like terms: 5 + -3 = 2
6 + -1[2 + 1x] = 0
6 + [2 * -1 + 1x * -1] = 0
6 + [-2 + -1x] = 0

Combine like terms: 6 + -2 = 4
4 + -1x = 0

Solving
4 + -1x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4