[z+1]+[z-1]=10

Solution for [z+1]+[z-1]=10 equation:

Simplifying
[z + 1] + [z + -1] = 10

Reorder the terms:
[1 + z] + [z + -1] = 10

Remove brackets around [1 + z]
1 + z + [z + -1] = 10

Reorder the terms:
1 + z + [-1 + z] = 10

Remove brackets around [-1 + z]
1 + z + -1 + z = 10

Reorder the terms:
1 + -1 + z + z = 10

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

Combine like terms: z + z = 2z
2z = 10

Solving
2z = 10

Solving for variable 'z'.

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

Divide each side by '2'.
z = 5

Simplifying
z = 5