What is the answer to |2x+11|=6 ?

The answer to |2x+11|=6 is x=-17/2 \lor x=-5/2

Solve for x: |2x+11|=6

The solution is x=-17/2 \lor x=-5/2

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∣ 2 x + 11 ∣ = 6

x = - \frac{17}{2} or x = - \frac{5}{2}

Decimal Notation

x = - 8.5, x = - 2.5

Solution steps

∣ 2 x + 11 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 11 = - 6 or 2 x + 11 = 6

2 x + 11 = - 6 or 2 x + 11 = 6

x = - \frac{17}{2} or x = - \frac{5}{2}

∣ a + 6 ∣ = - 1

∣ x + 3 ∣ = - 32

3 ∣ 4 u + 7 ∣ + 5 = 6

6 ∣ 6 - 2 x ∣ = 36

∣ 32 - 6 f ∣ = 20

What is the answer to |2x+11|=6 ?
The answer to |2x+11|=6 is x=-17/2 \lor x=-5/2
Solve for x: |2x+11|=6
The solution is x=-17/2 \lor x=-5/2