[z+3]=[z-3]

Solution for [z+3]=[z-3] equation:

Simplifying
[z + 3] = [z + -3]

Reorder the terms:
[3 + z] = [z + -3]

Remove brackets around [3 + z]
3 + z = [z + -3]

Reorder the terms:
3 + z = [-3 + z]

Remove brackets around [-3 + z]
3 + z = -3 + z

Add '-1z' to each side of the equation.
3 + z + -1z = -3 + z + -1z

Combine like terms: z + -1z = 0
3 + 0 = -3 + z + -1z
3 = -3 + z + -1z

Combine like terms: z + -1z = 0
3 = -3 + 0
3 = -3

Solving
3 = -3

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.