2(z+3)=-8(z-6)

Solution for 2(z+3)=-8(z-6) equation:

Simplifying
2(z + 3) = -8(z + -6)

Reorder the terms:
2(3 + z) = -8(z + -6)
(3 * 2 + z * 2) = -8(z + -6)
(6 + 2z) = -8(z + -6)

Reorder the terms:
6 + 2z = -8(-6 + z)
6 + 2z = (-6 * -8 + z * -8)
6 + 2z = (48 + -8z)

Solving
6 + 2z = 48 + -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.
6 + 2z + 8z = 48 + -8z + 8z

Combine like terms: 2z + 8z = 10z
6 + 10z = 48 + -8z + 8z

Combine like terms: -8z + 8z = 0
6 + 10z = 48 + 0
6 + 10z = 48

Add '-6' to each side of the equation.
6 + -6 + 10z = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 10z = 48 + -6
10z = 48 + -6

Combine like terms: 48 + -6 = 42
10z = 42

Divide each side by '10'.
z = 4.2

Simplifying
z = 4.2