6-3z=2z+21

Solution for 6-3z=2z+21 equation:

Simplifying
6 + -3z = 2z + 21

Reorder the terms:
6 + -3z = 21 + 2z

Solving
6 + -3z = 21 + 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 = 21 + 2z + -2z

Combine like terms: -3z + -2z = -5z
6 + -5z = 21 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -5z = 21 + 0
6 + -5z = 21

Add '-6' to each side of the equation.
6 + -6 + -5z = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = 21 + -6
-5z = 21 + -6

Combine like terms: 21 + -6 = 15
-5z = 15

Divide each side by '-5'.
z = -3

Simplifying
z = -3