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

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

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

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

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

Solving
6 + 10z = -12 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
6 + 10z + -12z = -12 + 12z + -12z

Combine like terms: 10z + -12z = -2z
6 + -2z = -12 + 12z + -12z

Combine like terms: 12z + -12z = 0
6 + -2z = -12 + 0
6 + -2z = -12

Add '-6' to each side of the equation.
6 + -6 + -2z = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -12 + -6
-2z = -12 + -6

Combine like terms: -12 + -6 = -18
-2z = -18

Divide each side by '-2'.
z = 9

Simplifying
z = 9