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

The answer to |x+3|=2x+4 is x=-1

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|x+3|=2x+4

∣ x + 3 ∣ = 2 x + 4

x = - 1

Solution steps

∣ x + 3 ∣ = 2 x + 4

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

2 ∣ x + 1 ∣ - ∣ 2 x - 4 ∣ = 1

∣ x + 1 ∣ + ∣ 5 x - 2 ∣ = 6

(x - 3)^{2} - 12 ∣ x - 3 ∣ + 35 = 0

- 11 = - 2 ∣ 5 d - 1 ∣ - 3

x^{3} + x - 1 = x + 1