2z-6=z+1

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

Simplifying
2z + -6 = z + 1

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

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

Solving
-6 + 2z = 1 + 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.
-6 + 2z + -1z = 1 + z + -1z

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

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

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

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

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

Divide each side by '1'.
z = 7

Simplifying
z = 7