4.7(2f-0.5)=.6(1.6f-8.3f)

Solution for 4.7(2f-0.5)=.6(1.6f-8.3f) equation:

Simplifying
4.7(2f + -0.5) = 0.6(1.6f + -8.3f)

Reorder the terms:
4.7(-0.5 + 2f) = 0.6(1.6f + -8.3f)
(-0.5 * 4.7 + 2f * 4.7) = 0.6(1.6f + -8.3f)
(-2.35 + 9.4f) = 0.6(1.6f + -8.3f)

Combine like terms: 1.6f + -8.3f = -6.7f
-2.35 + 9.4f = 0.6(-6.7f)

Remove parenthesis around (-6.7f)
-2.35 + 9.4f = 0.6 * -6.7f

Multiply 0.6 * -6.7
-2.35 + 9.4f = -4.02f

Solving
-2.35 + 9.4f = -4.02f

Solving for variable 'f'.

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

Add '4.02f' to each side of the equation.
-2.35 + 9.4f + 4.02f = -4.02f + 4.02f

Combine like terms: 9.4f + 4.02f = 13.42f
-2.35 + 13.42f = -4.02f + 4.02f

Combine like terms: -4.02f + 4.02f = 0.00
-2.35 + 13.42f = 0.00

Add '2.35' to each side of the equation.
-2.35 + 2.35 + 13.42f = 0.00 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + 13.42f = 0.00 + 2.35
13.42f = 0.00 + 2.35

Combine like terms: 0.00 + 2.35 = 2.35
13.42f = 2.35

Divide each side by '13.42'.
f = 0.1751117735

Simplifying
f = 0.1751117735