What is the answer to 11=|3x+5| ?

The answer to 11=|3x+5| is x=-16/3 \lor x=2

Solve for x: 11=|3x+5|

The solution is x=-16/3 \lor x=2

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11 = ∣ 3 x + 5 ∣

x = - \frac{16}{3} or x = 2

Decimal Notation

x = - 5.33333 \dots, x = 2

Solution steps

11 = ∣ 3 x + 5 ∣

Switch sides

∣ 3 x + 5 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 11 or 3 x + 5 = 11

3 x + 5 = - 11 or 3 x + 5 = 11

x = - \frac{16}{3} or x = 2

4 ∣ 3 (x + 3) (x - 3) ∣ - 4 = 4

3 ∣ y + 5 ∣ + 7 = 10

3 + 9 ∣ - 5 n ∣ = 48

4 ∣ m ∣ = 0

∣ - 13 x + 4 ∣ + 9 = 4