What is the answer to |15-5x|-7=13 ?

The answer to |15-5x|-7=13 is x=-1\lor x=7

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|15-5x|-7=13

∣ 15 - 5 x ∣ - 7 = 13

x = - 1 or x = 7

Solution steps

∣ 15 - 5 x ∣ - 7 = 13

Move

7

to the right side

∣ 15 - 5 x ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

15 - 5 x = - 20 or 15 - 5 x = 20

15 - 5 x = - 20 or 15 - 5 x = 20

x = - 1 or x = 7

9 = ∣ w - 7 ∣

∣ w - 4 ∣ = 24

∣ 3 n + 6 ∣ = 5 n + 2

∣ - 2 r ∣ = 10

\frac{∣ 16 - x ∣}{3} = 3 x