6z+3=z-3

Solution for 6z+3=z-3 equation:

Simplifying
6z + 3 = z + -3

Reorder the terms:
3 + 6z = z + -3

Reorder the terms:
3 + 6z = -3 + z

Solving
3 + 6z = -3 + 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.
3 + 6z + -1z = -3 + z + -1z

Combine like terms: 6z + -1z = 5z
3 + 5z = -3 + z + -1z

Combine like terms: z + -1z = 0
3 + 5z = -3 + 0
3 + 5z = -3

Add '-3' to each side of the equation.
3 + -3 + 5z = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 5z = -3 + -3
5z = -3 + -3

Combine like terms: -3 + -3 = -6
5z = -6

Divide each side by '5'.
z = -1.2

Simplifying
z = -1.2