4.7(f-0.5)=6(1.6f-8.3f)

Solution for 4.7(f-0.5)=6(1.6f-8.3f) equation:

Simplifying
4.7(f + -0.5) = 6(1.6f + -8.3f)

Reorder the terms:
4.7(-0.5 + f) = 6(1.6f + -8.3f)
(-0.5 * 4.7 + f * 4.7) = 6(1.6f + -8.3f)
(-2.35 + 4.7f) = 6(1.6f + -8.3f)

Combine like terms: 1.6f + -8.3f = -6.7f
-2.35 + 4.7f = 6(-6.7f)

Remove parenthesis around (-6.7f)
-2.35 + 4.7f = 6 * -6.7f

Multiply 6 * -6.7
-2.35 + 4.7f = -40.2f

Solving
-2.35 + 4.7f = -40.2f

Solving for variable 'f'.

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

Add '40.2f' to each side of the equation.
-2.35 + 4.7f + 40.2f = -40.2f + 40.2f

Combine like terms: 4.7f + 40.2f = 44.9f
-2.35 + 44.9f = -40.2f + 40.2f

Combine like terms: -40.2f + 40.2f = 0.0
-2.35 + 44.9f = 0.0

Add '2.35' to each side of the equation.
-2.35 + 2.35 + 44.9f = 0.0 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + 44.9f = 0.0 + 2.35
44.9f = 0.0 + 2.35

Combine like terms: 0.0 + 2.35 = 2.35
44.9f = 2.35

Divide each side by '44.9'.
f = 0.05233853007

Simplifying
f = 0.05233853007