6(z+5)=42+2z

Solution for 6(z+5)=42+2z equation:

Simplifying
6(z + 5) = 42 + 2z

Reorder the terms:
6(5 + z) = 42 + 2z
(5 * 6 + z * 6) = 42 + 2z
(30 + 6z) = 42 + 2z

Solving
30 + 6z = 42 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
30 + 6z + -2z = 42 + 2z + -2z

Combine like terms: 6z + -2z = 4z
30 + 4z = 42 + 2z + -2z

Combine like terms: 2z + -2z = 0
30 + 4z = 42 + 0
30 + 4z = 42

Add '-30' to each side of the equation.
30 + -30 + 4z = 42 + -30

Combine like terms: 30 + -30 = 0
0 + 4z = 42 + -30
4z = 42 + -30

Combine like terms: 42 + -30 = 12
4z = 12

Divide each side by '4'.
z = 3

Simplifying
z = 3