2(f+3)=8f-15

Solution for 2(f+3)=8f-15 equation:

Simplifying
2(f + 3) = 8f + -15

Reorder the terms:
2(3 + f) = 8f + -15
(3 * 2 + f * 2) = 8f + -15
(6 + 2f) = 8f + -15

Reorder the terms:
6 + 2f = -15 + 8f

Solving
6 + 2f = -15 + 8f

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
6 + 2f + -8f = -15 + 8f + -8f

Combine like terms: 2f + -8f = -6f
6 + -6f = -15 + 8f + -8f

Combine like terms: 8f + -8f = 0
6 + -6f = -15 + 0
6 + -6f = -15

Add '-6' to each side of the equation.
6 + -6 + -6f = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -6f = -15 + -6
-6f = -15 + -6

Combine like terms: -15 + -6 = -21
-6f = -21

Divide each side by '-6'.
f = 3.5

Simplifying
f = 3.5