5.78-1.5f=-f-9.59+19.82

Solution for 5.78-1.5f=-f-9.59+19.82 equation:

Simplifying
5.78 + -1.5f = -1f + -9.59 + 19.82

Reorder the terms:
5.78 + -1.5f = -9.59 + 19.82 + -1f

Combine like terms: -9.59 + 19.82 = 10.23
5.78 + -1.5f = 10.23 + -1f

Solving
5.78 + -1.5f = 10.23 + -1f

Solving for variable 'f'.

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

Add 'f' to each side of the equation.
5.78 + -1.5f + f = 10.23 + -1f + f

Combine like terms: -1.5f + f = -0.5f
5.78 + -0.5f = 10.23 + -1f + f

Combine like terms: -1f + f = 0
5.78 + -0.5f = 10.23 + 0
5.78 + -0.5f = 10.23

Add '-5.78' to each side of the equation.
5.78 + -5.78 + -0.5f = 10.23 + -5.78

Combine like terms: 5.78 + -5.78 = 0.00
0.00 + -0.5f = 10.23 + -5.78
-0.5f = 10.23 + -5.78

Combine like terms: 10.23 + -5.78 = 4.45
-0.5f = 4.45

Divide each side by '-0.5'.
f = -8.9

Simplifying
f = -8.9