What is the answer to |3x-24|-7=-7 ?

The answer to |3x-24|-7=-7 is x=8

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|3x-24|-7=-7

∣ 3 x - 24 ∣ - 7 = - 7

x = 8

Solution steps

∣ 3 x - 24 ∣ - 7 = - 7

Add

7

to both sides

∣ 3 x - 24 ∣ - 7 + 7 = - 7 + 7

Simplify

∣ 3 x - 24 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x - 24 = 0

3 x - 24 = 0 : x = 8

x = 8

\frac{n}{5} = 1

∣ x + (- 4) ∣ = 2

3 ∣ 3 - 5 x ∣ - 3 = 18

∣ 5 x + 10 ∣ = 25

7 ∣ 5 h - 2 ∣ + 10 = - 11