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

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

Simplifying
3(2z + 5) + -2(z + -3) = 0

Reorder the terms:
3(5 + 2z) + -2(z + -3) = 0
(5 * 3 + 2z * 3) + -2(z + -3) = 0
(15 + 6z) + -2(z + -3) = 0

Reorder the terms:
15 + 6z + -2(-3 + z) = 0
15 + 6z + (-3 * -2 + z * -2) = 0
15 + 6z + (6 + -2z) = 0

Reorder the terms:
15 + 6 + 6z + -2z = 0

Combine like terms: 15 + 6 = 21
21 + 6z + -2z = 0

Combine like terms: 6z + -2z = 4z
21 + 4z = 0

Solving
21 + 4z = 0

Solving for variable 'z'.

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

Add '-21' to each side of the equation.
21 + -21 + 4z = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 4z = 0 + -21
4z = 0 + -21

Combine like terms: 0 + -21 = -21
4z = -21

Divide each side by '4'.
z = -5.25

Simplifying
z = -5.25