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

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

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2x+3=-|x+1|-1

2 x + 3 = - ∣ x + 1 ∣ - 1

x = - 3

Solution steps

2 x + 3 = - ∣ x + 1 ∣ - 1

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - 3 or No Solution

x = - 3

x^{2} - 1 = 2 x

∣ 1 - 2 t ∣ + 3 = 8

- 8 - ∣ 5 k - 3 ∣ = - 20

∣ 3 x - 1 ∣ = 5 x

\frac{m}{7} + 4 = 5