5(h+20)=3(h-1)

Solution for 5(h+20)=3(h-1) equation:

Simplifying
5(h + 20) = 3(h + -1)

Reorder the terms:
5(20 + h) = 3(h + -1)
(20 * 5 + h * 5) = 3(h + -1)
(100 + 5h) = 3(h + -1)

Reorder the terms:
100 + 5h = 3(-1 + h)
100 + 5h = (-1 * 3 + h * 3)
100 + 5h = (-3 + 3h)

Solving
100 + 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.
100 + 5h + -3h = -3 + 3h + -3h

Combine like terms: 5h + -3h = 2h
100 + 2h = -3 + 3h + -3h

Combine like terms: 3h + -3h = 0
100 + 2h = -3 + 0
100 + 2h = -3

Add '-100' to each side of the equation.
100 + -100 + 2h = -3 + -100

Combine like terms: 100 + -100 = 0
0 + 2h = -3 + -100
2h = -3 + -100

Combine like terms: -3 + -100 = -103
2h = -103

Divide each side by '2'.
h = -51.5

Simplifying
h = -51.5