3z+2-z=3+z+1

Solution for 3z+2-z=3+z+1 equation:

Simplifying
3z + 2 + -1z = 3 + z + 1

Reorder the terms:
2 + 3z + -1z = 3 + z + 1

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

Reorder the terms:
2 + 2z = 3 + 1 + z

Combine like terms: 3 + 1 = 4
2 + 2z = 4 + z

Solving
2 + 2z = 4 + 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 + 2z + -1z = 4 + z + -1z

Combine like terms: 2z + -1z = 1z
2 + 1z = 4 + z + -1z

Combine like terms: z + -1z = 0
2 + 1z = 4 + 0
2 + 1z = 4

Add '-2' to each side of the equation.
2 + -2 + 1z = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 4 + -2
1z = 4 + -2

Combine like terms: 4 + -2 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2