-3(z-2)=2z-9

Solution for -3(z-2)=2z-9 equation:

Simplifying
-3(z + -2) = 2z + -9

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

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

Solving
6 + -3z = -9 + 2z

Solving for variable 'z'.

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

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

Combine like terms: -3z + -2z = -5z
6 + -5z = -9 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -5z = -9 + 0
6 + -5z = -9

Add '-6' to each side of the equation.
6 + -6 + -5z = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = -9 + -6
-5z = -9 + -6

Combine like terms: -9 + -6 = -15
-5z = -15

Divide each side by '-5'.
z = 3

Simplifying
z = 3