10z+6=11z-5

Solution for 10z+6=11z-5 equation:

Simplifying
10z + 6 = 11z + -5

Reorder the terms:
6 + 10z = 11z + -5

Reorder the terms:
6 + 10z = -5 + 11z

Solving
6 + 10z = -5 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
6 + 10z + -11z = -5 + 11z + -11z

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

Combine like terms: 11z + -11z = 0
6 + -1z = -5 + 0
6 + -1z = -5

Add '-6' to each side of the equation.
6 + -6 + -1z = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -5 + -6
-1z = -5 + -6

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

Divide each side by '-1'.
z = 11

Simplifying
z = 11