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

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

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5x-|3x+4|=20

5 x - ∣ 3 x + 4 ∣ = 20

x = 12

Solution steps

5 x - ∣ 3 x + 4 ∣ = 20

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 12

x = 12

5 ∣ 5 (x + 3) (x + 1) ∣ + 7 = 32

∣ 3 x + 18 ∣ = 6

- 2 ∣ 5 - 3 x ∣ = - 16

∣ 3 x + 18 ∣ = 0

∣ 3 x - 1 ∣ = 12