2(z+6)-10=42

Solution for 2(z+6)-10=42 equation:

Simplifying
2(z + 6) + -10 = 42

Reorder the terms:
2(6 + z) + -10 = 42
(6 * 2 + z * 2) + -10 = 42
(12 + 2z) + -10 = 42

Reorder the terms:
12 + -10 + 2z = 42

Combine like terms: 12 + -10 = 2
2 + 2z = 42

Solving
2 + 2z = 42

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + 2z = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 2z = 42 + -2
2z = 42 + -2

Combine like terms: 42 + -2 = 40
2z = 40

Divide each side by '2'.
z = 20

Simplifying
z = 20