3z-1=5z-3z

Solution for 3z-1=5z-3z equation:

Simplifying
3z + -1 = 5z + -3z

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

Combine like terms: 5z + -3z = 2z
-1 + 3z = 2z

Solving
-1 + 3z = 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.
-1 + 3z + -2z = 2z + -2z

Combine like terms: 3z + -2z = 1z
-1 + 1z = 2z + -2z

Combine like terms: 2z + -2z = 0
-1 + 1z = 0

Add '1' to each side of the equation.
-1 + 1 + 1z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1z = 0 + 1
1z = 0 + 1

Combine like terms: 0 + 1 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1