[5z+6]=[z+2]

Solution for [5z+6]=[z+2] equation:

Simplifying
[5z + 6] = [z + 2]

Reorder the terms:
[6 + 5z] = [z + 2]

Remove brackets around [6 + 5z]
6 + 5z = [z + 2]

Reorder the terms:
6 + 5z = [2 + z]

Remove brackets around [2 + z]
6 + 5z = 2 + z

Solving
6 + 5z = 2 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 5z + -1z = 2 + z + -1z

Combine like terms: 5z + -1z = 4z
6 + 4z = 2 + z + -1z

Combine like terms: z + -1z = 0
6 + 4z = 2 + 0
6 + 4z = 2

Add '-6' to each side of the equation.
6 + -6 + 4z = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 4z = 2 + -6
4z = 2 + -6

Combine like terms: 2 + -6 = -4
4z = -4

Divide each side by '4'.
z = -1

Simplifying
z = -1