5Z-6=3Z+1

Solution for 5Z-6=3Z+1 equation:

Simplifying
5Z + -6 = 3Z + 1

Reorder the terms:
-6 + 5Z = 3Z + 1

Reorder the terms:
-6 + 5Z = 1 + 3Z

Solving
-6 + 5Z = 1 + 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 + 5Z + -3Z = 1 + 3Z + -3Z

Combine like terms: 5Z + -3Z = 2Z
-6 + 2Z = 1 + 3Z + -3Z

Combine like terms: 3Z + -3Z = 0
-6 + 2Z = 1 + 0
-6 + 2Z = 1

Add '6' to each side of the equation.
-6 + 6 + 2Z = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 2Z = 1 + 6
2Z = 1 + 6

Combine like terms: 1 + 6 = 7
2Z = 7

Divide each side by '2'.
Z = 3.5

Simplifying
Z = 3.5