What is the answer to |8-5x|=4 ?

The answer to |8-5x|=4 is x= 4/5 \lor x= 12/5

Solve for x: |8-5x|=4

The solution is x= 4/5 \lor x= 12/5

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∣ 8 - 5 x ∣ = 4

x = \frac{4}{5} or x = \frac{12}{5}

Solution steps

∣ 8 - 5 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 5 x = - 4 or 8 - 5 x = 4

8 - 5 x = - 4 or 8 - 5 x = 4

x = \frac{4}{5} or x = \frac{12}{5}

∣ Y ∣ = - 18

∣ w + 8 ∣ = 1

- 2 ∣ x - 17 ∣ + 10 = 3

- 16 + ∣ 2 x - 5 ∣ = - 3

x, 3 ∣ x - 4 ∣ = 8