What is the answer to |1+3x|=2 ?

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

Solve for x: |1+3x|=2

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

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∣ 1 + 3 x ∣ = 2

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

Solution steps

∣ 1 + 3 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 + 3 x = - 2 or 1 + 3 x = 2

1 + 3 x = - 2 or 1 + 3 x = 2

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

∣ 3 v + 9 ∣ = - 3

- 11 ∣ v + 13 ∣ = - 132

4 ∣ f + 1 ∣ = 6

∣ v - 1 ∣ = 3

∣ 2 x - 7 ∣ + 5 = 1