What is the answer to |3x-1|-9=4 ?

The answer to |3x-1|-9=4 is x=-4\lor x= 14/3

Solve for x: |3x-1|-9=4

The solution is x=-4\lor x= 14/3

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∣ 3 x - 1 ∣ - 9 = 4

x = - 4 or x = \frac{14}{3}

Decimal Notation

x = - 4, x = 4.66666 \dots

Solution steps

∣ 3 x - 1 ∣ - 9 = 4

Move

9

to the right side

∣ 3 x - 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 13 or 3 x - 1 = 13

3 x - 1 = - 13 or 3 x - 1 = 13

x = - 4 or x = \frac{14}{3}

∣ 1 - 3 t ∣ + 4 = 14

y^{2} - ∣ 7 y + 6 ∣ = y + 59

2 ∣ 6 - 2 x ∣ = 8

∣ 4 w + 2 ∣ = 10

- 8 + ∣ - 8 + 7 x ∣ = - 3