5z+6-2z=51-2z

Solution for 5z+6-2z=51-2z equation:

Simplifying
5z + 6 + -2z = 51 + -2z

Reorder the terms:
6 + 5z + -2z = 51 + -2z

Combine like terms: 5z + -2z = 3z
6 + 3z = 51 + -2z

Solving
6 + 3z = 51 + -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 = 51 + -2z + 2z

Combine like terms: 3z + 2z = 5z
6 + 5z = 51 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + 5z = 51 + 0
6 + 5z = 51

Add '-6' to each side of the equation.
6 + -6 + 5z = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 5z = 51 + -6
5z = 51 + -6

Combine like terms: 51 + -6 = 45
5z = 45

Divide each side by '5'.
z = 9

Simplifying
z = 9