2(z-6)+10z=8(z-2)

Solution for 2(z-6)+10z=8(z-2) equation:

Simplifying
2(z + -6) + 10z = 8(z + -2)

Reorder the terms:
2(-6 + z) + 10z = 8(z + -2)
(-6 * 2 + z * 2) + 10z = 8(z + -2)
(-12 + 2z) + 10z = 8(z + -2)

Combine like terms: 2z + 10z = 12z
-12 + 12z = 8(z + -2)

Reorder the terms:
-12 + 12z = 8(-2 + z)
-12 + 12z = (-2 * 8 + z * 8)
-12 + 12z = (-16 + 8z)

Solving
-12 + 12z = -16 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-12 + 12z + -8z = -16 + 8z + -8z

Combine like terms: 12z + -8z = 4z
-12 + 4z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
-12 + 4z = -16 + 0
-12 + 4z = -16

Add '12' to each side of the equation.
-12 + 12 + 4z = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 4z = -16 + 12
4z = -16 + 12

Combine like terms: -16 + 12 = -4
4z = -4

Divide each side by '4'.
z = -1

Simplifying
z = -1