6-[x-(6+x)]=x-4

Solution for 6-[x-(6+x)]=x-4 equation:

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

Reorder the terms:
6 + -1[-6 + x + -1x] = x + -4

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

Multiply -1 * -6
6 + 6 = x + -4

Combine like terms: 6 + 6 = 12
12 = x + -4

Reorder the terms:
12 = -4 + x

Solving
12 = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -1x = -4 + x + -1x

Combine like terms: x + -1x = 0
12 + -1x = -4 + 0
12 + -1x = -4

Add '-12' to each side of the equation.
12 + -12 + -1x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -4 + -12
-1x = -4 + -12

Combine like terms: -4 + -12 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16