6-[(-3)+(-7)]-[(-1)-(-5)-(-8)]=x

Solution for 6-[(-3)+(-7)]-[(-1)-(-5)-(-8)]=x equation:

Simplifying
6 + -1[(-3) + (-7)] + -1[(-1) + -1(-5) + -1(-8)] = x
6 + -1[-3 + (-7)] + -1[(-1) + -1(-5) + -1(-8)] = x
6 + -1[-3 + -7] + -1[(-1) + -1(-5) + -1(-8)] = x

Combine like terms: -3 + -7 = -10
6 + -1[-10] + -1[(-1) + -1(-5) + -1(-8)] = x

Multiply -1 * -10
6 + 10 + -1[(-1) + -1(-5) + -1(-8)] = x
6 + 10 + -1[-1 + -1(-5) + -1(-8)] = x

Multiply -1 * -5
6 + 10 + -1[-1 + 5 + -1(-8)] = x

Multiply -1 * -8
6 + 10 + -1[-1 + 5 + 8] = x

Combine like terms: -1 + 5 = 4
6 + 10 + -1[4 + 8] = x

Combine like terms: 4 + 8 = 12
6 + 10 + -1[12] = x

Multiply -1 * 12
6 + 10 + -12 = x

Combine like terms: 6 + 10 = 16
16 + -12 = x

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

Solving
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.
4 + -1x = x + -1x

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

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