5(4+h)=3(h+1)

Solution for 5(4+h)=3(h+1) equation:

Simplifying
5(4 + h) = 3(h + 1)
(4 * 5 + h * 5) = 3(h + 1)
(20 + 5h) = 3(h + 1)

Reorder the terms:
20 + 5h = 3(1 + h)
20 + 5h = (1 * 3 + h * 3)
20 + 5h = (3 + 3h)

Solving
20 + 5h = 3 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
20 + 5h + -3h = 3 + 3h + -3h

Combine like terms: 5h + -3h = 2h
20 + 2h = 3 + 3h + -3h

Combine like terms: 3h + -3h = 0
20 + 2h = 3 + 0
20 + 2h = 3

Add '-20' to each side of the equation.
20 + -20 + 2h = 3 + -20

Combine like terms: 20 + -20 = 0
0 + 2h = 3 + -20
2h = 3 + -20

Combine like terms: 3 + -20 = -17
2h = -17

Divide each side by '2'.
h = -8.5

Simplifying
h = -8.5