What is the answer to 2|5x+3|=16 ?

The answer to 2|5x+3|=16 is x=-11/5 \lor x=1

Solve for x: 2|5x+3|=16

The solution is x=-11/5 \lor x=1

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2 ∣ 5 x + 3 ∣ = 16

x = - \frac{11}{5} or x = 1

Decimal Notation

x = - 2.2, x = 1

Solution steps

2 ∣ 5 x + 3 ∣ = 16

Divide both sides by

2

∣ 5 x + 3 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 3 = - 8 or 5 x + 3 = 8

5 x + 3 = - 8 or 5 x + 3 = 8

x = - \frac{11}{5} or x = 1

10 - ∣ 4 c - 6 ∣ = - 1

6 + 3 ∣ - 7 - 6 p ∣ = 75

4 ∣ 3 x - 9 ∣ = 36

- 4 ∣ x + 7 ∣ = - 16

∣ 2 x + 4 ∣ - 1 = 7