What is the answer to |5x+6|=16 ?

The answer to |5x+6|=16 is x=-22/5 \lor x=2

Solve for x: |5x+6|=16

The solution is x=-22/5 \lor x=2

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∣ 5 x + 6 ∣ = 16

x = - \frac{22}{5} or x = 2

Decimal Notation

x = - 4.4, x = 2

Solution steps

∣ 5 x + 6 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 6 = - 16 or 5 x + 6 = 16

5 x + 6 = - 16 or 5 x + 6 = 16

x = - \frac{22}{5} or x = 2

∣ 5 - 7 x ∣ - 8 = - 1

∣ 2 (x + 1) + 4 ∣ = 10

x^{2} + 7 x - 4 = 4

∣ 3 x - 6 ∣ = 10

- 0.3 ∣ 3 + 8 x ∣ = 0.9