3z+3-z=10+z-5

Solution for 3z+3-z=10+z-5 equation:

Simplifying
3z + 3 + -1z = 10 + z + -5

Reorder the terms:
3 + 3z + -1z = 10 + z + -5

Combine like terms: 3z + -1z = 2z
3 + 2z = 10 + z + -5

Reorder the terms:
3 + 2z = 10 + -5 + z

Combine like terms: 10 + -5 = 5
3 + 2z = 5 + z

Solving
3 + 2z = 5 + 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.
3 + 2z + -1z = 5 + z + -1z

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

Combine like terms: z + -1z = 0
3 + 1z = 5 + 0
3 + 1z = 5

Add '-3' to each side of the equation.
3 + -3 + 1z = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1z = 5 + -3
1z = 5 + -3

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

Divide each side by '1'.
z = 2

Simplifying
z = 2