3z+2=3+z

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

Simplifying
3z + 2 = 3 + z

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

Solving
2 + 3z = 3 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
2 + 3z + -1z = 3 + z + -1z

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

Combine like terms: z + -1z = 0
2 + 2z = 3 + 0
2 + 2z = 3

Add '-2' to each side of the equation.
2 + -2 + 2z = 3 + -2

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

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

Divide each side by '2'.
z = 0.5

Simplifying
z = 0.5