5z-3=2z+3

Solution for 5z-3=2z+3 equation:

Simplifying
5z + -3 = 2z + 3

Reorder the terms:
-3 + 5z = 2z + 3

Reorder the terms:
-3 + 5z = 3 + 2z

Solving
-3 + 5z = 3 + 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.
-3 + 5z + -2z = 3 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
-3 + 3z = 3 + 0
-3 + 3z = 3

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

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

Combine like terms: 3 + 3 = 6
3z = 6

Divide each side by '3'.
z = 2

Simplifying
z = 2