What is the answer to |5f-3|=12 ?

The answer to |5f-3|=12 is f=-9/5 \lor f=3

Solve for f: |5f-3|=12

The solution is f=-9/5 \lor f=3

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∣ 5 f - 3 ∣ = 12

f = - \frac{9}{5} or f = 3

Decimal Notation

f = - 1.8, f = 3

Solution steps

∣ 5 f - 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 f - 3 = - 12 or 5 f - 3 = 12

5 f - 3 = - 12 or 5 f - 3 = 12

f = - \frac{9}{5} or f = 3

∣ x + 3 ∣ = 2 x - 5

∣ 2 x - 3 ∣ = x + 4

∣ 5 - x ∣ = 2 x + 5

∣ x + 3 ∣ - 1 = 0

7 - 3 ∣ x - 2 ∣ = 5