72+10-z=8z-2(z-5)

Solution for 72+10-z=8z-2(z-5) equation:

Simplifying
72 + 10 + -1z = 8z + -2(z + -5)

Combine like terms: 72 + 10 = 82
82 + -1z = 8z + -2(z + -5)

Reorder the terms:
82 + -1z = 8z + -2(-5 + z)
82 + -1z = 8z + (-5 * -2 + z * -2)
82 + -1z = 8z + (10 + -2z)

Reorder the terms:
82 + -1z = 10 + 8z + -2z

Combine like terms: 8z + -2z = 6z
82 + -1z = 10 + 6z

Solving
82 + -1z = 10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
82 + -1z + -6z = 10 + 6z + -6z

Combine like terms: -1z + -6z = -7z
82 + -7z = 10 + 6z + -6z

Combine like terms: 6z + -6z = 0
82 + -7z = 10 + 0
82 + -7z = 10

Add '-82' to each side of the equation.
82 + -82 + -7z = 10 + -82

Combine like terms: 82 + -82 = 0
0 + -7z = 10 + -82
-7z = 10 + -82

Combine like terms: 10 + -82 = -72
-7z = -72

Divide each side by '-7'.
z = 10.28571429

Simplifying
z = 10.28571429