3z+1-2=6+z-3

Solution for 3z+1-2=6+z-3 equation:

Simplifying
3z + 1 + -2 = 6 + z + -3

Reorder the terms:
1 + -2 + 3z = 6 + z + -3

Combine like terms: 1 + -2 = -1
-1 + 3z = 6 + z + -3

Reorder the terms:
-1 + 3z = 6 + -3 + z

Combine like terms: 6 + -3 = 3
-1 + 3z = 3 + z

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

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

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

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

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

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

Divide each side by '2'.
z = 2

Simplifying
z = 2