3z+2=z-6

Solution for 3z+2=z-6 equation:

Simplifying
3z + 2 = z + -6

Reorder the terms:
2 + 3z = z + -6

Reorder the terms:
2 + 3z = -6 + z

Solving
2 + 3z = -6 + 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.
2 + 3z + -1z = -6 + z + -1z

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

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

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

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

Combine like terms: -6 + -2 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4