2z+5z+z-6=10

Solution for 2z+5z+z-6=10 equation:

Simplifying
2z + 5z + z + -6 = 10

Reorder the terms:
-6 + 2z + 5z + z = 10

Combine like terms: 2z + 5z = 7z
-6 + 7z + z = 10

Combine like terms: 7z + z = 8z
-6 + 8z = 10

Solving
-6 + 8z = 10

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 + 8z = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8z = 10 + 6
8z = 10 + 6

Combine like terms: 10 + 6 = 16
8z = 16

Divide each side by '8'.
z = 2

Simplifying
z = 2