What is the answer to 13=|2-3x| ?

The answer to 13=|2-3x| is x=-11/3 \lor x=5

Solve for x: 13=|2-3x|

The solution is x=-11/3 \lor x=5

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13 = ∣ 2 - 3 x ∣

x = - \frac{11}{3} or x = 5

Decimal Notation

x = - 3.66666 \dots, x = 5

Solution steps

13 = ∣ 2 - 3 x ∣

Switch sides

∣ 2 - 3 x ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 13 or 2 - 3 x = 13

2 - 3 x = - 13 or 2 - 3 x = 13

x = - \frac{11}{3} or x = 5

2 (5 w + 9) \leq 7 w + 3

∣ x + 6 ∣ > 10

(\frac{2}{3})^{4} (\frac{9}{4})^{4} (\frac{4}{3})^{4}

2 (x - 2) = - (4 - x)

x^{2} - 8 x + 14 = 0