What is the answer to 5|-f+4|-6=14 ?

The answer to 5|-f+4|-6=14 is f=0\lor f=8

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5|-f+4|-6=14

5 ∣ - f + 4 ∣ - 6 = 14

f = 0 or f = 8

Solution steps

5 ∣ - f + 4 ∣ - 6 = 14

Move

6

to the right side

5 ∣ - f + 4 ∣ = 20

Divide both sides by

5

∣ - f + 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- f + 4 = - 4 or - f + 4 = 4

- f + 4 = - 4 or - f + 4 = 4

f = 0 or f = 8

\frac{∣ 3 x - 5 ∣}{4} = - 1

∣ x - 2 ∣ = 4 x - 14

- 18 = 9 ∣ - 2 w ∣

∣ 2 x + 1 ∣ = - 2 x + 3

2 ∣ x - 4 ∣ + 1 = 11