2(f+8)=3(f+4)

Solution for 2(f+8)=3(f+4) equation:

Simplifying
2(f + 8) = 3(f + 4)

Reorder the terms:
2(8 + f) = 3(f + 4)
(8 * 2 + f * 2) = 3(f + 4)
(16 + 2f) = 3(f + 4)

Reorder the terms:
16 + 2f = 3(4 + f)
16 + 2f = (4 * 3 + f * 3)
16 + 2f = (12 + 3f)

Solving
16 + 2f = 12 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
16 + 2f + -3f = 12 + 3f + -3f

Combine like terms: 2f + -3f = -1f
16 + -1f = 12 + 3f + -3f

Combine like terms: 3f + -3f = 0
16 + -1f = 12 + 0
16 + -1f = 12

Add '-16' to each side of the equation.
16 + -16 + -1f = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -1f = 12 + -16
-1f = 12 + -16

Combine like terms: 12 + -16 = -4
-1f = -4

Divide each side by '-1'.
f = 4

Simplifying
f = 4