2(-14-5f)=3(-2f-8)

Solution for 2(-14-5f)=3(-2f-8) equation:

Simplifying
2(-14 + -5f) = 3(-2f + -8)
(-14 * 2 + -5f * 2) = 3(-2f + -8)
(-28 + -10f) = 3(-2f + -8)

Reorder the terms:
-28 + -10f = 3(-8 + -2f)
-28 + -10f = (-8 * 3 + -2f * 3)
-28 + -10f = (-24 + -6f)

Solving
-28 + -10f = -24 + -6f

Solving for variable 'f'.

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

Add '6f' to each side of the equation.
-28 + -10f + 6f = -24 + -6f + 6f

Combine like terms: -10f + 6f = -4f
-28 + -4f = -24 + -6f + 6f

Combine like terms: -6f + 6f = 0
-28 + -4f = -24 + 0
-28 + -4f = -24

Add '28' to each side of the equation.
-28 + 28 + -4f = -24 + 28

Combine like terms: -28 + 28 = 0
0 + -4f = -24 + 28
-4f = -24 + 28

Combine like terms: -24 + 28 = 4
-4f = 4

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

Simplifying
f = -1