3z-6+8z-10z=5+10

Solution for 3z-6+8z-10z=5+10 equation:

Simplifying
3z + -6 + 8z + -10z = 5 + 10

Reorder the terms:
-6 + 3z + 8z + -10z = 5 + 10

Combine like terms: 3z + 8z = 11z
-6 + 11z + -10z = 5 + 10

Combine like terms: 11z + -10z = 1z
-6 + 1z = 5 + 10

Combine like terms: 5 + 10 = 15
-6 + 1z = 15

Solving
-6 + 1z = 15

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 1z = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 1z = 15 + 6
1z = 15 + 6

Combine like terms: 15 + 6 = 21
1z = 21

Divide each side by '1'.
z = 21

Simplifying
z = 21