6(2f-13)=3(10f-8)

Solution for 6(2f-13)=3(10f-8) equation:

Simplifying
6(2f + -13) = 3(10f + -8)

Reorder the terms:
6(-13 + 2f) = 3(10f + -8)
(-13 * 6 + 2f * 6) = 3(10f + -8)
(-78 + 12f) = 3(10f + -8)

Reorder the terms:
-78 + 12f = 3(-8 + 10f)
-78 + 12f = (-8 * 3 + 10f * 3)
-78 + 12f = (-24 + 30f)

Solving
-78 + 12f = -24 + 30f

Solving for variable 'f'.

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

Add '-30f' to each side of the equation.
-78 + 12f + -30f = -24 + 30f + -30f

Combine like terms: 12f + -30f = -18f
-78 + -18f = -24 + 30f + -30f

Combine like terms: 30f + -30f = 0
-78 + -18f = -24 + 0
-78 + -18f = -24

Add '78' to each side of the equation.
-78 + 78 + -18f = -24 + 78

Combine like terms: -78 + 78 = 0
0 + -18f = -24 + 78
-18f = -24 + 78

Combine like terms: -24 + 78 = 54
-18f = 54

Divide each side by '-18'.
f = -3

Simplifying
f = -3