What is the answer to |3x+1|=20 ?

The answer to |3x+1|=20 is x=-7\lor x= 19/3

Solve for x: |3x+1|=20

The solution is x=-7\lor x= 19/3

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∣ 3 x + 1 ∣ = 20

x = - 7 or x = \frac{19}{3}

Decimal Notation

x = - 7, x = 6.33333 \dots

Solution steps

∣ 3 x + 1 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 20 or 3 x + 1 = 20

3 x + 1 = - 20 or 3 x + 1 = 20

x = - 7 or x = \frac{19}{3}

∣ 6 - 3 x ∣ = 4 - x

4 ∣ 2 x - 1 ∣ + 4 = 20

\frac{a}{6} - 10 = - 9

- 2 ∣ 5 + 3 x ∣ + 1 = - 5

∣ 3 x + 1 ∣ = 19