What is the answer to |3x-17|-18=9 ?

The answer to |3x-17|-18=9 is x=-10/3 \lor x= 44/3

Solve for x: |3x-17|-18=9

The solution is x=-10/3 \lor x= 44/3

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∣ 3 x - 17 ∣ - 18 = 9

x = - \frac{10}{3} or x = \frac{44}{3}

Decimal Notation

x = - 3.33333 \dots, x = 14.66666 \dots

Solution steps

∣ 3 x - 17 ∣ - 18 = 9

Move

18

to the right side

∣ 3 x - 17 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 17 = - 27 or 3 x - 17 = 27

3 x - 17 = - 27 or 3 x - 17 = 27

x = - \frac{10}{3} or x = \frac{44}{3}

∣ 2 + 4 p ∣ - 5 = - 3

2 ∣ x - 1 ∣ = 13

2 ∣ x - 1 ∣ = 16

∣ x + 9 ∣ = 9

x^{2} - 5 x + 6 = 0

What is the answer to |3x-17|-18=9 ?
The answer to |3x-17|-18=9 is x=-10/3 \lor x= 44/3
Solve for x: |3x-17|-18=9
The solution is x=-10/3 \lor x= 44/3