What is the answer to |9+6x|=4 ?

The answer to |9+6x|=4 is x=-13/6 \lor x=-5/6

Solve for x: |9+6x|=4

The solution is x=-13/6 \lor x=-5/6

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∣ 9 + 6 x ∣ = 4

x = - \frac{13}{6} or x = - \frac{5}{6}

Decimal

x = - 2.16666 \dots, x = - 0.83333 \dots

Solution steps

∣ 9 + 6 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 + 6 x = - 4 or 9 + 6 x = 4

9 + 6 x = - 4 or 9 + 6 x = 4

x = - \frac{13}{6} or x = - \frac{5}{6}

∣ 6 a + 1 ∣ + 10 = 23

∣ x + 6 ∣ = 12 + x

∣ x + 1 ∣ + 2 = x + 4

∣ c + 4 ∣ = 6

∣ x - 2 ∣ + ∣ 2 x - 1 ∣ = 3