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

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

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

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

Reorder the terms:
6 + 6z = 6(5 + 2z)
6 + 6z = (5 * 6 + 2z * 6)
6 + 6z = (30 + 12z)

Solving
6 + 6z = 30 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
6 + 6z + -12z = 30 + 12z + -12z

Combine like terms: 6z + -12z = -6z
6 + -6z = 30 + 12z + -12z

Combine like terms: 12z + -12z = 0
6 + -6z = 30 + 0
6 + -6z = 30

Add '-6' to each side of the equation.
6 + -6 + -6z = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -6z = 30 + -6
-6z = 30 + -6

Combine like terms: 30 + -6 = 24
-6z = 24

Divide each side by '-6'.
z = -4

Simplifying
z = -4