3Z-42=2Z-13

Solution for 3Z-42=2Z-13 equation:

Simplifying
3Z + -42 = 2Z + -13

Reorder the terms:
-42 + 3Z = 2Z + -13

Reorder the terms:
-42 + 3Z = -13 + 2Z

Solving
-42 + 3Z = -13 + 2Z

Solving for variable 'Z'.

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

Add '-2Z' to each side of the equation.
-42 + 3Z + -2Z = -13 + 2Z + -2Z

Combine like terms: 3Z + -2Z = 1Z
-42 + 1Z = -13 + 2Z + -2Z

Combine like terms: 2Z + -2Z = 0
-42 + 1Z = -13 + 0
-42 + 1Z = -13

Add '42' to each side of the equation.
-42 + 42 + 1Z = -13 + 42

Combine like terms: -42 + 42 = 0
0 + 1Z = -13 + 42
1Z = -13 + 42

Combine like terms: -13 + 42 = 29
1Z = 29

Divide each side by '1'.
Z = 29

Simplifying
Z = 29