5(f+2)=(3-f)

Solution for 5(f+2)=(3-f) equation:

Simplifying
5(f + 2) = (3 + -1f)

Reorder the terms:
5(2 + f) = (3 + -1f)
(2 * 5 + f * 5) = (3 + -1f)
(10 + 5f) = (3 + -1f)

Remove parenthesis around (3 + -1f)
10 + 5f = 3 + -1f

Solving
10 + 5f = 3 + -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.
10 + 5f + f = 3 + -1f + f

Combine like terms: 5f + f = 6f
10 + 6f = 3 + -1f + f

Combine like terms: -1f + f = 0
10 + 6f = 3 + 0
10 + 6f = 3

Add '-10' to each side of the equation.
10 + -10 + 6f = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 6f = 3 + -10
6f = 3 + -10

Combine like terms: 3 + -10 = -7
6f = -7

Divide each side by '6'.
f = -1.166666667

Simplifying
f = -1.166666667