What is the answer to |x+3|-5=4 ?

The answer to |x+3|-5=4 is x=-12\lor x=6

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|x+3|-5=4

∣ x + 3 ∣ - 5 = 4

x = - 12 or x = 6

Solution steps

∣ x + 3 ∣ - 5 = 4

Move

5

to the right side

∣ x + 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 9 or x + 3 = 9

x + 3 = - 9 or x + 3 = 9

x = - 12 or x = 6

∣ x - 1 ∣ + ∣ x - 3 ∣ = \frac{3}{2}

∣ x + 3 ∣ + 3 = 3

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

∣ x ∣ + ∣ x + 2 ∣ = 4

∣ x ∣ + ∣ x + 2 ∣ = 3