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

The answer to |2-3x|=9 is x=-7/3 \lor x= 11/3

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

The solution is x=-7/3 \lor x= 11/3

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∣ 2 - 3 x ∣ = 9

x = - \frac{7}{3} or x = \frac{11}{3}

Decimal Notation

x = - 2.33333 \dots, x = 3.66666 \dots

Solution steps

∣ 2 - 3 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 9 or 2 - 3 x = 9

2 - 3 x = - 9 or 2 - 3 x = 9

x = - \frac{7}{3} or x = \frac{11}{3}

∣ 10 - 3 t ∣ = t + 3

∣ x - 4 ∣ = 19

∣ x - 4 ∣ = 14

3 ∣ x - 1 ∣ + 2 = 11

∣ w ∣ = 2