What is the answer to 5f-|3f+4|=20 ?

The answer to 5f-|3f+4|=20 is f=12

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5f-|3f+4|=20

5 f - ∣ 3 f + 4 ∣ = 20

f = 12

Solution steps

5 f - ∣ 3 f + 4 ∣ = 20

Find positive and negative intervals

f < - \frac{4}{3}, f \geq - \frac{4}{3}

Solve the inequality for each interval

No Solution or f = 12

f = 12

∣ x - 2 ∣ = 2 - (x - 2)^{2}

3 + 4 ∣ x - 2 ∣ = 35

∣ 5 - x ∣ = 4

∣ 4 x + 9 ∣ - 6 = x

x, ∣ 5 x - 2 ∣ = 8