0.7f+2(f-3)=.2f+3

Solution for 0.7f+2(f-3)=.2f+3 equation:

Simplifying
0.7f + 2(f + -3) = 0.2f + 3

Reorder the terms:
0.7f + 2(-3 + f) = 0.2f + 3
0.7f + (-3 * 2 + f * 2) = 0.2f + 3
0.7f + (-6 + 2f) = 0.2f + 3

Reorder the terms:
-6 + 0.7f + 2f = 0.2f + 3

Combine like terms: 0.7f + 2f = 2.7f
-6 + 2.7f = 0.2f + 3

Reorder the terms:
-6 + 2.7f = 3 + 0.2f

Solving
-6 + 2.7f = 3 + 0.2f

Solving for variable 'f'.

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

Add '-0.2f' to each side of the equation.
-6 + 2.7f + -0.2f = 3 + 0.2f + -0.2f

Combine like terms: 2.7f + -0.2f = 2.5f
-6 + 2.5f = 3 + 0.2f + -0.2f

Combine like terms: 0.2f + -0.2f = 0.0
-6 + 2.5f = 3 + 0.0
-6 + 2.5f = 3

Add '6' to each side of the equation.
-6 + 6 + 2.5f = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 2.5f = 3 + 6
2.5f = 3 + 6

Combine like terms: 3 + 6 = 9
2.5f = 9

Divide each side by '2.5'.
f = 3.6

Simplifying
f = 3.6