3z+6=5z-2

Solution for 3z+6=5z-2 equation:

Simplifying
3z + 6 = 5z + -2

Reorder the terms:
6 + 3z = 5z + -2

Reorder the terms:
6 + 3z = -2 + 5z

Solving
6 + 3z = -2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 3z + -5z = -2 + 5z + -5z

Combine like terms: 3z + -5z = -2z
6 + -2z = -2 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + -2z = -2 + 0
6 + -2z = -2

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

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

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

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

Simplifying
z = 4