6.8(f+3)=4.5f+45.7f

Solution for 6.8(f+3)=4.5f+45.7f equation:

Simplifying
6.8(f + 3) = 4.5f + 45.7f

Reorder the terms:
6.8(3 + f) = 4.5f + 45.7f
(3 * 6.8 + f * 6.8) = 4.5f + 45.7f
(20.4 + 6.8f) = 4.5f + 45.7f

Combine like terms: 4.5f + 45.7f = 50.2f
20.4 + 6.8f = 50.2f

Solving
20.4 + 6.8f = 50.2f

Solving for variable 'f'.

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

Add '-50.2f' to each side of the equation.
20.4 + 6.8f + -50.2f = 50.2f + -50.2f

Combine like terms: 6.8f + -50.2f = -43.4f
20.4 + -43.4f = 50.2f + -50.2f

Combine like terms: 50.2f + -50.2f = 0.0
20.4 + -43.4f = 0.0

Add '-20.4' to each side of the equation.
20.4 + -20.4 + -43.4f = 0.0 + -20.4

Combine like terms: 20.4 + -20.4 = 0.0
0.0 + -43.4f = 0.0 + -20.4
-43.4f = 0.0 + -20.4

Combine like terms: 0.0 + -20.4 = -20.4
-43.4f = -20.4

Divide each side by '-43.4'.
f = 0.4700460829

Simplifying
f = 0.4700460829