What is the answer to |2x+6|=5 ?

The answer to |2x+6|=5 is x=-11/2 \lor x=-1/2

Solve for x: |2x+6|=5

The solution is x=-11/2 \lor x=-1/2

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∣ 2 x + 6 ∣ = 5

x = - \frac{11}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 5.5, x = - 0.5

Solution steps

∣ 2 x + 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 5 or 2 x + 6 = 5

2 x + 6 = - 5 or 2 x + 6 = 5

x = - \frac{11}{2} or x = - \frac{1}{2}

3 ∣ x - 1 ∣ - 9 = 0

x^{2} - ∣ x ∣ - 72 = 0

∣ z ∣ + 7 = 17

- ∣ x + 1 ∣ - 2 = 0

∣ 6 x + 5 ∣ - 5 = - 2