5z+6-z=5+3z-1

Solution for 5z+6-z=5+3z-1 equation:

Simplifying
5z + 6 + -1z = 5 + 3z + -1

Reorder the terms:
6 + 5z + -1z = 5 + 3z + -1

Combine like terms: 5z + -1z = 4z
6 + 4z = 5 + 3z + -1

Reorder the terms:
6 + 4z = 5 + -1 + 3z

Combine like terms: 5 + -1 = 4
6 + 4z = 4 + 3z

Solving
6 + 4z = 4 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 4z + -3z = 4 + 3z + -3z

Combine like terms: 4z + -3z = 1z
6 + 1z = 4 + 3z + -3z

Combine like terms: 3z + -3z = 0
6 + 1z = 4 + 0
6 + 1z = 4

Add '-6' to each side of the equation.
6 + -6 + 1z = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 4 + -6
1z = 4 + -6

Combine like terms: 4 + -6 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2