-[5z-(8z+6)]=6+(2z+4)

Solution for -[5z-(8z+6)]=6+(2z+4) equation:

Simplifying
-1[5z + -1(8z + 6)] = 6 + (2z + 4)

Reorder the terms:
-1[5z + -1(6 + 8z)] = 6 + (2z + 4)
-1[5z + (6 * -1 + 8z * -1)] = 6 + (2z + 4)
-1[5z + (-6 + -8z)] = 6 + (2z + 4)

Reorder the terms:
-1[-6 + 5z + -8z] = 6 + (2z + 4)

Combine like terms: 5z + -8z = -3z
-1[-6 + -3z] = 6 + (2z + 4)
[-6 * -1 + -3z * -1] = 6 + (2z + 4)
[6 + 3z] = 6 + (2z + 4)

Reorder the terms:
6 + 3z = 6 + (4 + 2z)

Remove parenthesis around (4 + 2z)
6 + 3z = 6 + 4 + 2z

Combine like terms: 6 + 4 = 10
6 + 3z = 10 + 2z

Solving
6 + 3z = 10 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 3z + -2z = 10 + 2z + -2z

Combine like terms: 3z + -2z = 1z
6 + 1z = 10 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 1z = 10 + 0
6 + 1z = 10

Add '-6' to each side of the equation.
6 + -6 + 1z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 10 + -6
1z = 10 + -6

Combine like terms: 10 + -6 = 4
1z = 4

Divide each side by '1'.
z = 4

Simplifying
z = 4