Z-6=2(z-2)-10

Solution for Z-6=2(z-2)-10 equation:

Simplifying
Z + -6 = 2(z + -2) + -10

Reorder the terms:
-6 + Z = 2(z + -2) + -10

Reorder the terms:
-6 + Z = 2(-2 + z) + -10
-6 + Z = (-2 * 2 + z * 2) + -10
-6 + Z = (-4 + 2z) + -10

Reorder the terms:
-6 + Z = -4 + -10 + 2z

Combine like terms: -4 + -10 = -14
-6 + Z = -14 + 2z

Solving
-6 + Z = -14 + 2z

Solving for variable 'Z'.

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

Add '6' to each side of the equation.
-6 + 6 + Z = -14 + 6 + 2z

Combine like terms: -6 + 6 = 0
0 + Z = -14 + 6 + 2z
Z = -14 + 6 + 2z

Combine like terms: -14 + 6 = -8
Z = -8 + 2z

Simplifying
Z = -8 + 2z