7(z-5)=z

Solution for 7(z-5)=z equation:

Simplifying
7(z + -5) = z

Reorder the terms:
7(-5 + z) = z
(-5 * 7 + z * 7) = z
(-35 + 7z) = z

Solving
-35 + 7z = 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.
-35 + 7z + -1z = z + -1z

Combine like terms: 7z + -1z = 6z
-35 + 6z = z + -1z

Combine like terms: z + -1z = 0
-35 + 6z = 0

Add '35' to each side of the equation.
-35 + 35 + 6z = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 6z = 0 + 35
6z = 0 + 35

Combine like terms: 0 + 35 = 35
6z = 35

Divide each side by '6'.
z = 5.833333333

Simplifying
z = 5.833333333