2z+6=3z-9

Solution for 2z+6=3z-9 equation:

Simplifying
2z + 6 = 3z + -9

Reorder the terms:
6 + 2z = 3z + -9

Reorder the terms:
6 + 2z = -9 + 3z

Solving
6 + 2z = -9 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 2z + -3z = -9 + 3z + -3z

Combine like terms: 2z + -3z = -1z
6 + -1z = -9 + 3z + -3z

Combine like terms: 3z + -3z = 0
6 + -1z = -9 + 0
6 + -1z = -9

Add '-6' to each side of the equation.
6 + -6 + -1z = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -9 + -6
-1z = -9 + -6

Combine like terms: -9 + -6 = -15
-1z = -15

Divide each side by '-1'.
z = 15

Simplifying
z = 15