2(h+5)+2(10)=42

Solution for 2(h+5)+2(10)=42 equation:

Simplifying
2(h + 5) + 2(10) = 42

Reorder the terms:
2(5 + h) + 2(10) = 42
(5 * 2 + h * 2) + 2(10) = 42
(10 + 2h) + 2(10) = 42

Multiply 2 * 10
10 + 2h + 20 = 42

Reorder the terms:
10 + 20 + 2h = 42

Combine like terms: 10 + 20 = 30
30 + 2h = 42

Solving
30 + 2h = 42

Solving for variable 'h'.

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

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

Combine like terms: 30 + -30 = 0
0 + 2h = 42 + -30
2h = 42 + -30

Combine like terms: 42 + -30 = 12
2h = 12

Divide each side by '2'.
h = 6

Simplifying
h = 6