11z+6=8z+21

Solution for 11z+6=8z+21 equation:

Simplifying
11z + 6 = 8z + 21

Reorder the terms:
6 + 11z = 8z + 21

Reorder the terms:
6 + 11z = 21 + 8z

Solving
6 + 11z = 21 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 11z + -8z = 21 + 8z + -8z

Combine like terms: 11z + -8z = 3z
6 + 3z = 21 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + 3z = 21 + 0
6 + 3z = 21

Add '-6' to each side of the equation.
6 + -6 + 3z = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3z = 21 + -6
3z = 21 + -6

Combine like terms: 21 + -6 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5