What is the answer to |3x-8|+2=9 ?

The answer to |3x-8|+2=9 is x= 1/3 \lor x=5

Solve for x: |3x-8|+2=9

The solution is x= 1/3 \lor x=5

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∣ 3 x - 8 ∣ + 2 = 9

x = \frac{1}{3} or x = 5

Decimal Notation

x = 0.33333 \dots, x = 5

Solution steps

∣ 3 x - 8 ∣ + 2 = 9

Move

2

to the right side

∣ 3 x - 8 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 7 or 3 x - 8 = 7

3 x - 8 = - 7 or 3 x - 8 = 7

x = \frac{1}{3} or x = 5

∣ Y ∣ = 3

\frac{x - 1}{2} = 7

∣ 8 x - 1 ∣ = 9

2 ∣ 2 x - 3 ∣ = \frac{5}{2}

x, - f = ∣ x ∣ + 9