What is the answer to |2x+5|+4=17 ?

The answer to |2x+5|+4=17 is x=-9\lor x=4

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|2x+5|+4=17

∣ 2 x + 5 ∣ + 4 = 17

x = - 9 or x = 4

Solution steps

∣ 2 x + 5 ∣ + 4 = 17

Move

4

to the right side

∣ 2 x + 5 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 13 or 2 x + 5 = 13

2 x + 5 = - 13 or 2 x + 5 = 13

x = - 9 or x = 4

3 ∣ x ∣ + x^{2} - 2 = 0

x, 3 ∣ x + 24 ∣ + 4 = 64

∣ a + 1 ∣ - 6 = 1

∣ x ∣ = x^{3} + 2 x^{2} - 3 x

∣ x + 3 ∣ = 2 x + 4