What is the answer to |x+4|=2x+11 ?

The answer to |x+4|=2x+11 is x=-5

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|x+4|=2x+11

∣ x + 4 ∣ = 2 x + 11

x = - 5

Solution steps

∣ x + 4 ∣ = 2 x + 11

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

x = - 5 or No Solution

x = - 5

∣ 3 x + 5 ∣ = 2 x + 6

∣ 3 x - 4 ∣ = x + 5

2 ∣ x - 7 ∣ = x - 8

∣ w + 1 ∣ = 5

∣ 7 x - 4 ∣ + 2 = 0