What is the answer to |3x+4|=14 ?

The answer to |3x+4|=14 is x=-6\lor x= 10/3

Solve for x: |3x+4|=14

The solution is x=-6\lor x= 10/3

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∣ 3 x + 4 ∣ = 14

x = - 6 or x = \frac{10}{3}

Decimal Notation

x = - 6, x = 3.33333 \dots

Solution steps

∣ 3 x + 4 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 14 or 3 x + 4 = 14

3 x + 4 = - 14 or 3 x + 4 = 14

x = - 6 or x = \frac{10}{3}

a^{2} - a - 1 = 0

\frac{1}{2 2}

8 x - 4 + 3 x = 7 x + x + 14

14 x = - 12 x

8 w^{2} = 50