-3(z-5)=-2z-6

Solution for -3(z-5)=-2z-6 equation:

Simplifying
-3(z + -5) = -2z + -6

Reorder the terms:
-3(-5 + z) = -2z + -6
(-5 * -3 + z * -3) = -2z + -6
(15 + -3z) = -2z + -6

Reorder the terms:
15 + -3z = -6 + -2z

Solving
15 + -3z = -6 + -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.
15 + -3z + 2z = -6 + -2z + 2z

Combine like terms: -3z + 2z = -1z
15 + -1z = -6 + -2z + 2z

Combine like terms: -2z + 2z = 0
15 + -1z = -6 + 0
15 + -1z = -6

Add '-15' to each side of the equation.
15 + -15 + -1z = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -1z = -6 + -15
-1z = -6 + -15

Combine like terms: -6 + -15 = -21
-1z = -21

Divide each side by '-1'.
z = 21

Simplifying
z = 21