5z+1=z-6

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

Simplifying
5z + 1 = z + -6

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

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

Solving
1 + 5z = -6 + 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 + 5z + -1z = -6 + z + -1z

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

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

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

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

Combine like terms: -6 + -1 = -7
4z = -7

Divide each side by '4'.
z = -1.75

Simplifying
z = -1.75