h-50=.8(h-100)

Solution for h-50=.8(h-100) equation:

Simplifying
h + -50 = 0.8(h + -100)

Reorder the terms:
-50 + h = 0.8(h + -100)

Reorder the terms:
-50 + h = 0.8(-100 + h)
-50 + h = (-100 * 0.8 + h * 0.8)
-50 + h = (-80 + 0.8h)

Solving
-50 + h = -80 + 0.8h

Solving for variable 'h'.

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

Add '-0.8h' to each side of the equation.
-50 + h + -0.8h = -80 + 0.8h + -0.8h

Combine like terms: h + -0.8h = 0.2h
-50 + 0.2h = -80 + 0.8h + -0.8h

Combine like terms: 0.8h + -0.8h = 0.0
-50 + 0.2h = -80 + 0.0
-50 + 0.2h = -80

Add '50' to each side of the equation.
-50 + 50 + 0.2h = -80 + 50

Combine like terms: -50 + 50 = 0
0 + 0.2h = -80 + 50
0.2h = -80 + 50

Combine like terms: -80 + 50 = -30
0.2h = -30

Divide each side by '0.2'.
h = -150

Simplifying
h = -150