What is the answer to |3-5x|=22 ?

The answer to |3-5x|=22 is x=-19/5 \lor x=5

Solve for x: |3-5x|=22

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

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∣ 3 - 5 x ∣ = 22

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

Decimal Notation

x = - 3.8, x = 5

Solution steps

∣ 3 - 5 x ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 5 x = - 22 or 3 - 5 x = 22

3 - 5 x = - 22 or 3 - 5 x = 22

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

∣ v + 6 ∣ = 10

∣ 5 x + 10 ∣ - 15 = 0

4 - ∣ x ∣ = 2 x + 1

x^{2} - 2 = ∣ x ∣

∣ 3 x ∣ + 2 = 8