What is the answer to 2|x+7|=5 ?

The answer to 2|x+7|=5 is x=-19/2 \lor x=-9/2

Solve for x: 2|x+7|=5

The solution is x=-19/2 \lor x=-9/2

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2 ∣ x + 7 ∣ = 5

x = - \frac{19}{2} or x = - \frac{9}{2}

Decimal Notation

x = - 9.5, x = - 4.5

Solution steps

2 ∣ x + 7 ∣ = 5

Divide both sides by

2

∣ x + 7 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 7 = - \frac{5}{2} or x + 7 = \frac{5}{2}

x + 7 = - \frac{5}{2} or x + 7 = \frac{5}{2}

x = - \frac{19}{2} or x = - \frac{9}{2}

∣ 1 + x ∣ = 1

5 = ∣ 5 - 3 x ∣

∣ 4 x - 14 ∣ - 9 = - 3

- 3 = ∣ v ∣ - 3

9 + ∣ 4 x - 5 ∣ = 0