-5(-8-4f)=2(3-7f)

Solution for -5(-8-4f)=2(3-7f) equation:

Simplifying
-5(-8 + -4f) = 2(3 + -7f)
(-8 * -5 + -4f * -5) = 2(3 + -7f)
(40 + 20f) = 2(3 + -7f)
40 + 20f = (3 * 2 + -7f * 2)
40 + 20f = (6 + -14f)

Solving
40 + 20f = 6 + -14f

Solving for variable 'f'.

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

Add '14f' to each side of the equation.
40 + 20f + 14f = 6 + -14f + 14f

Combine like terms: 20f + 14f = 34f
40 + 34f = 6 + -14f + 14f

Combine like terms: -14f + 14f = 0
40 + 34f = 6 + 0
40 + 34f = 6

Add '-40' to each side of the equation.
40 + -40 + 34f = 6 + -40

Combine like terms: 40 + -40 = 0
0 + 34f = 6 + -40
34f = 6 + -40

Combine like terms: 6 + -40 = -34
34f = -34

Divide each side by '34'.
f = -1

Simplifying
f = -1