What is the answer to |x+4|=x+7 ?

The answer to |x+4|=x+7 is x=-11/2

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|x+4|=x+7

∣ x + 4 ∣ = x + 7

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

∣ x + 4 ∣ = x + 7

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

x = - \frac{11}{2} or No Solution

x = - \frac{11}{2}

∣ x + 4 ∣ = x + 4

∣ 3 x ∣ = 24

45 = ∣ a + 3 ∣

- ∣ x ∣ = - 8

∣ 3 x - 5 ∣ = 11