[-6+(-13)]+8=-6+(x+8)

Solution for [-6+(-13)]+8=-6+(x+8) equation:

Simplifying
[-6 + (-13)] + 8 = -6 + (x + 8)
[-6 + -13] + 8 = -6 + (x + 8)

Combine like terms: -6 + -13 = -19
[-19] + 8 = -6 + (x + 8)
-19 + 8 = -6 + (x + 8)

Combine like terms: -19 + 8 = -11
-11 = -6 + (x + 8)

Reorder the terms:
-11 = -6 + (8 + x)

Remove parenthesis around (8 + x)
-11 = -6 + 8 + x

Combine like terms: -6 + 8 = 2
-11 = 2 + x

Solving
-11 = 2 + 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.
-11 + -1x = 2 + x + -1x

Combine like terms: x + -1x = 0
-11 + -1x = 2 + 0
-11 + -1x = 2

Add '11' to each side of the equation.
-11 + 11 + -1x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 2 + 11
-1x = 2 + 11

Combine like terms: 2 + 11 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13