3(z-24)=36-3(z-2)

Solution for 3(z-24)=36-3(z-2) equation:

Simplifying
3(z + -24) = 36 + -3(z + -2)

Reorder the terms:
3(-24 + z) = 36 + -3(z + -2)
(-24 * 3 + z * 3) = 36 + -3(z + -2)
(-72 + 3z) = 36 + -3(z + -2)

Reorder the terms:
-72 + 3z = 36 + -3(-2 + z)
-72 + 3z = 36 + (-2 * -3 + z * -3)
-72 + 3z = 36 + (6 + -3z)

Combine like terms: 36 + 6 = 42
-72 + 3z = 42 + -3z

Solving
-72 + 3z = 42 + -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.
-72 + 3z + 3z = 42 + -3z + 3z

Combine like terms: 3z + 3z = 6z
-72 + 6z = 42 + -3z + 3z

Combine like terms: -3z + 3z = 0
-72 + 6z = 42 + 0
-72 + 6z = 42

Add '72' to each side of the equation.
-72 + 72 + 6z = 42 + 72

Combine like terms: -72 + 72 = 0
0 + 6z = 42 + 72
6z = 42 + 72

Combine like terms: 42 + 72 = 114
6z = 114

Divide each side by '6'.
z = 19

Simplifying
z = 19