7z+6=5z+1

Solution for 7z+6=5z+1 equation:

Simplifying
7z + 6 = 5z + 1

Reorder the terms:
6 + 7z = 5z + 1

Reorder the terms:
6 + 7z = 1 + 5z

Solving
6 + 7z = 1 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 7z + -5z = 1 + 5z + -5z

Combine like terms: 7z + -5z = 2z
6 + 2z = 1 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + 2z = 1 + 0
6 + 2z = 1

Add '-6' to each side of the equation.
6 + -6 + 2z = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = 1 + -6
2z = 1 + -6

Combine like terms: 1 + -6 = -5
2z = -5

Divide each side by '2'.
z = -2.5

Simplifying
z = -2.5