9z+6=10z-3

Solution for 9z+6=10z-3 equation:

Simplifying
9z + 6 = 10z + -3

Reorder the terms:
6 + 9z = 10z + -3

Reorder the terms:
6 + 9z = -3 + 10z

Solving
6 + 9z = -3 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
6 + 9z + -10z = -3 + 10z + -10z

Combine like terms: 9z + -10z = -1z
6 + -1z = -3 + 10z + -10z

Combine like terms: 10z + -10z = 0
6 + -1z = -3 + 0
6 + -1z = -3

Add '-6' to each side of the equation.
6 + -6 + -1z = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -3 + -6
-1z = -3 + -6

Combine like terms: -3 + -6 = -9
-1z = -9

Divide each side by '-1'.
z = 9

Simplifying
z = 9