What is the answer to 8x+20=-|2x+4| ?

The answer to 8x+20=-|2x+4| is x=-8/3

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8x+20=-|2x+4|

8 x + 20 = - ∣ 2 x + 4 ∣

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

8 x + 20 = - ∣ 2 x + 4 ∣

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

x = - \frac{8}{3} or No Solution

x = - \frac{8}{3}

∣ x - 1 ∣ = x - 1

∣ 6 x - 3 ∣ + 10 = 1

4 ∣ x - 2 ∣ = 24

∣ 3 x - 1 ∣ = 2 x - 2

∣ 3 x - 4 ∣ = 2