3(z-24)+2(z-2)=19

Solution for 3(z-24)+2(z-2)=19 equation:

Simplifying
3(z + -24) + 2(z + -2) = 19

Reorder the terms:
3(-24 + z) + 2(z + -2) = 19
(-24 * 3 + z * 3) + 2(z + -2) = 19
(-72 + 3z) + 2(z + -2) = 19

Reorder the terms:
-72 + 3z + 2(-2 + z) = 19
-72 + 3z + (-2 * 2 + z * 2) = 19
-72 + 3z + (-4 + 2z) = 19

Reorder the terms:
-72 + -4 + 3z + 2z = 19

Combine like terms: -72 + -4 = -76
-76 + 3z + 2z = 19

Combine like terms: 3z + 2z = 5z
-76 + 5z = 19

Solving
-76 + 5z = 19

Solving for variable 'z'.

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

Add '76' to each side of the equation.
-76 + 76 + 5z = 19 + 76

Combine like terms: -76 + 76 = 0
0 + 5z = 19 + 76
5z = 19 + 76

Combine like terms: 19 + 76 = 95
5z = 95

Divide each side by '5'.
z = 19

Simplifying
z = 19