3z+6=5z-3z

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

Simplifying
3z + 6 = 5z + -3z

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

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

Solving
6 + 3z = 2z

Solving for variable 'z'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 1z = 0 + -6

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

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

Divide each side by '1'.
z = -6

Simplifying
z = -6