What is the answer to |5x-8|=27 ?

The answer to |5x-8|=27 is x=-19/5 \lor x=7

Solve for x: |5x-8|=27

The solution is x=-19/5 \lor x=7

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∣ 5 x - 8 ∣ = 27

x = - \frac{19}{5} or x = 7

Decimal Notation

x = - 3.8, x = 7

Solution steps

∣ 5 x - 8 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 8 = - 27 or 5 x - 8 = 27

5 x - 8 = - 27 or 5 x - 8 = 27

x = - \frac{19}{5} or x = 7

∣ 3 a + 4 ∣ = 4 a - 10

0 = ∣ x + 1 ∣ - 3

2 = ∣ b + 7 ∣

∣ a - 5 ∣ - 6 = 8

3 ∣ 2 x - 3 ∣ = 27