2(h+3)=2(2h+1)

Solution for 2(h+3)=2(2h+1) equation:

Simplifying
2(h + 3) = 2(2h + 1)

Reorder the terms:
2(3 + h) = 2(2h + 1)
(3 * 2 + h * 2) = 2(2h + 1)
(6 + 2h) = 2(2h + 1)

Reorder the terms:
6 + 2h = 2(1 + 2h)
6 + 2h = (1 * 2 + 2h * 2)
6 + 2h = (2 + 4h)

Solving
6 + 2h = 2 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
6 + 2h + -4h = 2 + 4h + -4h

Combine like terms: 2h + -4h = -2h
6 + -2h = 2 + 4h + -4h

Combine like terms: 4h + -4h = 0
6 + -2h = 2 + 0
6 + -2h = 2

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

Combine like terms: 6 + -6 = 0
0 + -2h = 2 + -6
-2h = 2 + -6

Combine like terms: 2 + -6 = -4
-2h = -4

Divide each side by '-2'.
h = 2

Simplifying
h = 2