What is the answer to |2x-7|-8=-5 ?

The answer to |2x-7|-8=-5 is x=2\lor x=5

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|2x-7|-8=-5

∣ 2 x - 7 ∣ - 8 = - 5

x = 2 or x = 5

Solution steps

∣ 2 x - 7 ∣ - 8 = - 5

Move

8

to the right side

∣ 2 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 3 or 2 x - 7 = 3

2 x - 7 = - 3 or 2 x - 7 = 3

x = 2 or x = 5

∣ x + 2 ∣ = 2 x + 1

x^{2} = - ∣ x ∣ + 3

∣ x + 2 ∣ = 2 x - 1

∣ 9 x - 1 ∣ = 5

12 - 8 ∣ k + 4 ∣ = - 4