What is the answer to 5|3x-9|+11=24 ?

The answer to 5|3x-9|+11=24 is x= 32/15 \lor x= 58/15

Solve for x: 5|3x-9|+11=24

The solution is x= 32/15 \lor x= 58/15

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5 ∣ 3 x - 9 ∣ + 11 = 24

x = \frac{32}{15} or x = \frac{58}{15}

Decimal Notation

x = 2.13333 \dots, x = 3.86666 \dots

Solution steps

5 ∣ 3 x - 9 ∣ + 11 = 24

Move

11

to the right side

5 ∣ 3 x - 9 ∣ = 13

Divide both sides by

5

∣ 3 x - 9 ∣ = \frac{13}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - \frac{13}{5} or 3 x - 9 = \frac{13}{5}

3 x - 9 = - \frac{13}{5} or 3 x - 9 = \frac{13}{5}

x = \frac{32}{15} or x = \frac{58}{15}

∣ 4 x + 1 ∣ + 9 = 17

10 - 2 ∣ x - 2 ∣ = 3

11 - 3 ∣ x - 1 ∣ = 1

∣ 3 x - 19 ∣ = - 25

∣ 4 + 5 k ∣ = 29

What is the answer to 5|3x-9|+11=24 ?
The answer to 5|3x-9|+11=24 is x= 32/15 \lor x= 58/15
Solve for x: 5|3x-9|+11=24
The solution is x= 32/15 \lor x= 58/15