2(z+3)=3(z-15)

Solution for 2(z+3)=3(z-15) equation:

Simplifying
2(z + 3) = 3(z + -15)

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

Reorder the terms:
6 + 2z = 3(-15 + z)
6 + 2z = (-15 * 3 + z * 3)
6 + 2z = (-45 + 3z)

Solving
6 + 2z = -45 + 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.
6 + 2z + -3z = -45 + 3z + -3z

Combine like terms: 2z + -3z = -1z
6 + -1z = -45 + 3z + -3z

Combine like terms: 3z + -3z = 0
6 + -1z = -45 + 0
6 + -1z = -45

Add '-6' to each side of the equation.
6 + -6 + -1z = -45 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -45 + -6
-1z = -45 + -6

Combine like terms: -45 + -6 = -51
-1z = -51

Divide each side by '-1'.
z = 51

Simplifying
z = 51