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

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

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

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

Remove parenthesis around (-6 + x)
-6 + x + -1[3 + -1(2x + -7) + x] = 0

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

Combine like terms: 3 + 7 = 10
-6 + x + -1[10 + -2x + x] = 0

Combine like terms: -2x + x = -1x
-6 + x + -1[10 + -1x] = 0
-6 + x + [10 * -1 + -1x * -1] = 0
-6 + x + [-10 + 1x] = 0

Reorder the terms:
-6 + -10 + x + 1x = 0

Combine like terms: -6 + -10 = -16
-16 + x + 1x = 0

Combine like terms: x + 1x = 2x
-16 + 2x = 0

Solving
-16 + 2x = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 0 + 16
2x = 0 + 16

Combine like terms: 0 + 16 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8