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

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

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

Reorder the terms:
5(2 + f) = 2(3 + f)
(2 * 5 + f * 5) = 2(3 + f)
(10 + 5f) = 2(3 + f)
10 + 5f = (3 * 2 + f * 2)
10 + 5f = (6 + 2f)

Solving
10 + 5f = 6 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
10 + 5f + -2f = 6 + 2f + -2f

Combine like terms: 5f + -2f = 3f
10 + 3f = 6 + 2f + -2f

Combine like terms: 2f + -2f = 0
10 + 3f = 6 + 0
10 + 3f = 6

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

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

Combine like terms: 6 + -10 = -4
3f = -4

Divide each side by '3'.
f = -1.333333333

Simplifying
f = -1.333333333