What is the answer to 17=|3x+5| ?

The answer to 17=|3x+5| is x=-22/3 \lor x=4

Solve for x: 17=|3x+5|

The solution is x=-22/3 \lor x=4

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17 = ∣ 3 x + 5 ∣

x = - \frac{22}{3} or x = 4

Decimal

x = - 7.33333 \dots, x = 4

Solution steps

17 = ∣ 3 x + 5 ∣

Switch sides

∣ 3 x + 5 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 17 or 3 x + 5 = 17

3 x + 5 = - 17 or 3 x + 5 = 17

x = - \frac{22}{3} or x = 4

8 - 2 ∣ x + 4 ∣ = 12

2 ∣ x + 5 ∣ - 3 = 39

∣ 7 x + 3 ∣ = 18

y, 5 y - 5 = 2 ∣ x ∣

∣ 2 x + 1 ∣ + ∣ 2 x - 1 ∣ = 3