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

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

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

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

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

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

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

Combine like terms: 3z + -3z = 0
15 + 3z = -6 + 0
15 + 3z = -6

Add '-15' to each side of the equation.
15 + -15 + 3z = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 3z = -6 + -15
3z = -6 + -15

Combine like terms: -6 + -15 = -21
3z = -21

Divide each side by '3'.
z = -7

Simplifying
z = -7