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

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

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

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

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

Solving
6 + 10z = -4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
6 + 10z + -4z = -4 + 4z + -4z

Combine like terms: 10z + -4z = 6z
6 + 6z = -4 + 4z + -4z

Combine like terms: 4z + -4z = 0
6 + 6z = -4 + 0
6 + 6z = -4

Add '-6' to each side of the equation.
6 + -6 + 6z = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 6z = -4 + -6
6z = -4 + -6

Combine like terms: -4 + -6 = -10
6z = -10

Divide each side by '6'.
z = -1.666666667

Simplifying
z = -1.666666667