What is the answer to 2|3x-5|=20 ?

The answer to 2|3x-5|=20 is x=-5/3 \lor x=5

Solve for x: 2|3x-5|=20

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

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2 ∣ 3 x - 5 ∣ = 20

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

Decimal Notation

x = - 1.66666 \dots, x = 5

Solution steps

2 ∣ 3 x - 5 ∣ = 20

Divide both sides by

2

∣ 3 x - 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 10 or 3 x - 5 = 10

3 x - 5 = - 10 or 3 x - 5 = 10

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

∣ 4 x + 7 ∣ - 4 = 24

∣ 4 x + 7 ∣ - 4 = 20

4 ∣ 2 x + 5 ∣ + 10 = 37

\frac{n}{3} = 1

∣ 2 x + 3 ∣ + 12 = 5