What is the answer to |2x+2|=9 ?

The answer to |2x+2|=9 is x=-11/2 \lor x= 7/2

Solve for x: |2x+2|=9

The solution is x=-11/2 \lor x= 7/2

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∣ 2 x + 2 ∣ = 9

x = - \frac{11}{2} or x = \frac{7}{2}

Decimal Notation

x = - 5.5, x = 3.5

Solution steps

∣ 2 x + 2 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 2 = - 9 or 2 x + 2 = 9

2 x + 2 = - 9 or 2 x + 2 = 9

x = - \frac{11}{2} or x = \frac{7}{2}

- 10 = ∣ x ∣ + 5

∣ v ∣ + 10 = 17

∣ 3 + x ∣ = 3 x + 5

- 18 = 6 - 3 ∣ b ∣

∣ - 3 x + 6 ∣ = - 2