What is the answer to |2-8x|=22 ?

The answer to |2-8x|=22 is x=-5/2 \lor x=3

Solve for x: |2-8x|=22

The solution is x=-5/2 \lor x=3

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∣ 2 - 8 x ∣ = 22

x = - \frac{5}{2} or x = 3

Decimal Notation

x = - 2.5, x = 3

Solution steps

∣ 2 - 8 x ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 8 x = - 22 or 2 - 8 x = 22

2 - 8 x = - 22 or 2 - 8 x = 22

x = - \frac{5}{2} or x = 3

∣ 3 x + 7 ∣ = 2

∣ 7 x + 2 ∣ = 16

5 ∣ w ∣ = 5

∣ 6 - 2 x ∣ - 10 = - 2

8 ∣ x - 5 ∣ + 7 = 11