What is the answer to |2x+5|+8=23 ?

The answer to |2x+5|+8=23 is x=-10\lor x=5

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|2x+5|+8=23

∣ 2 x + 5 ∣ + 8 = 23

x = - 10 or x = 5

Solution steps

∣ 2 x + 5 ∣ + 8 = 23

Move

8

to the right side

∣ 2 x + 5 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 15 or 2 x + 5 = 15

2 x + 5 = - 15 or 2 x + 5 = 15

x = - 10 or x = 5

∣ 8 + 10 k ∣ = 38

\frac{2}{7} ∣ - x - 3 ∣ - 10 = - 8

- 6 ∣ - 2 - 4 n ∣ + 6 = - 54

∣ w ∣ = 5

∣ 3 k - 2 ∣ = 2 ∣ k + 2 ∣