What is the answer to -3|2x+1|=-15 ?

The answer to -3|2x+1|=-15 is x=-3\lor x=2

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-3|2x+1|=-15

- 3 ∣ 2 x + 1 ∣ = - 15

x = - 3 or x = 2

Solution steps

- 3 ∣ 2 x + 1 ∣ = - 15

Divide both sides by

- 3

∣ 2 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 5 or 2 x + 1 = 5

2 x + 1 = - 5 or 2 x + 1 = 5

x = - 3 or x = 2

4 = a + ∣ x - 4 ∣

∣ m - 3 ∣ = 12 - 2 m

2 x^{2} - 4 x + 1 = 1

∣ - 10 x - 8 ∣ - 9 = 69

∣ 3 x - 7 ∣ - 7 = xx