What is the answer to |2x+3|=8 ?

The answer to |2x+3|=8 is x=-11/2 \lor x= 5/2

Solve for x: |2x+3|=8

The solution is x=-11/2 \lor x= 5/2

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∣ 2 x + 3 ∣ = 8

x = - \frac{11}{2} or x = \frac{5}{2}

Decimal Notation

x = - 5.5, x = 2.5

Solution steps

∣ 2 x + 3 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 8 or 2 x + 3 = 8

2 x + 3 = - 8 or 2 x + 3 = 8

x = - \frac{11}{2} or x = \frac{5}{2}

- 2 ∣ 5 x + 3 ∣ + 18 = 6

∣ 2 x + 3 ∣ + 7 = 5

∣ 2 x + 3 ∣ + 7 = 4

2 ∣ 2 x - 5 ∣ + 9 = 9

- 4 ∣ d + 5 ∣ = - 60