What is the answer to |3x+5|=4 ?

The answer to |3x+5|=4 is x=-3\lor x=-1/3

Solve for x: |3x+5|=4

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

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∣ 3 x + 5 ∣ = 4

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

Decimal Notation

x = - 3, x = - 0.33333 \dots

Solution steps

∣ 3 x + 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 4 or 3 x + 5 = 4

3 x + 5 = - 4 or 3 x + 5 = 4

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

∣ 11 x - 4 ∣ = - 26

∣ 2 x - 8 ∣ = 10

∣ 7 - 2 x ∣ + 4 = 5

∣ x - 4 ∣ = x + 2

1 - ∣ 4 x + 5 ∣ = - 2