3(f-13)=2(2f+1)

Solution for 3(f-13)=2(2f+1) equation:

Simplifying
3(f + -13) = 2(2f + 1)

Reorder the terms:
3(-13 + f) = 2(2f + 1)
(-13 * 3 + f * 3) = 2(2f + 1)
(-39 + 3f) = 2(2f + 1)

Reorder the terms:
-39 + 3f = 2(1 + 2f)
-39 + 3f = (1 * 2 + 2f * 2)
-39 + 3f = (2 + 4f)

Solving
-39 + 3f = 2 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
-39 + 3f + -4f = 2 + 4f + -4f

Combine like terms: 3f + -4f = -1f
-39 + -1f = 2 + 4f + -4f

Combine like terms: 4f + -4f = 0
-39 + -1f = 2 + 0
-39 + -1f = 2

Add '39' to each side of the equation.
-39 + 39 + -1f = 2 + 39

Combine like terms: -39 + 39 = 0
0 + -1f = 2 + 39
-1f = 2 + 39

Combine like terms: 2 + 39 = 41
-1f = 41

Divide each side by '-1'.
f = -41

Simplifying
f = -41