3(z-17)-1=5

Solution for 3(z-17)-1=5 equation:

Simplifying
3(z + -17) + -1 = 5

Reorder the terms:
3(-17 + z) + -1 = 5
(-17 * 3 + z * 3) + -1 = 5
(-51 + 3z) + -1 = 5

Reorder the terms:
-51 + -1 + 3z = 5

Combine like terms: -51 + -1 = -52
-52 + 3z = 5

Solving
-52 + 3z = 5

Solving for variable 'z'.

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

Add '52' to each side of the equation.
-52 + 52 + 3z = 5 + 52

Combine like terms: -52 + 52 = 0
0 + 3z = 5 + 52
3z = 5 + 52

Combine like terms: 5 + 52 = 57
3z = 57

Divide each side by '3'.
z = 19

Simplifying
z = 19