What is the answer to 4|2x+3|+8=20 ?

The answer to 4|2x+3|+8=20 is x=-3\lor x=0

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4|2x+3|+8=20

4 ∣ 2 x + 3 ∣ + 8 = 20

x = - 3 or x = 0

Solution steps

4 ∣ 2 x + 3 ∣ + 8 = 20

Move

8

to the right side

4 ∣ 2 x + 3 ∣ = 12

Divide both sides by

4

∣ 2 x + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 3 or 2 x + 3 = 3

2 x + 3 = - 3 or 2 x + 3 = 3

x = - 3 or x = 0

- ∣ 10 + x ∣ + 10 = - 1

- 92 = - 10 ∣ 2 - 4 n ∣ + 8

10 - 4 ∣ 4 x + 8 ∣ = - 26

- 3 ∣ x - 6 ∣ - 10 = - 31

4 = ∣ - 3 a + 4 ∣