What is the answer to |-5x-9|=4 ?

The answer to |-5x-9|=4 is x=-13/5 \lor x=-1

Solve for x: |-5x-9|=4

The solution is x=-13/5 \lor x=-1

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∣ - 5 x - 9 ∣ = 4

x = - \frac{13}{5} or x = - 1

Decimal Notation

x = - 2.6, x = - 1

Solution steps

∣ - 5 x - 9 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x - 9 = - 4 or - 5 x - 9 = 4

- 5 x - 9 = - 4 or - 5 x - 9 = 4

x = - \frac{13}{5} or x = - 1

x^{2} - 5 x = 6 - x^{2}

x^{3} ∣ x + 3 ∣ = 12

- 7 = \frac{a - 3}{- 2}

3 + ∣ 3 x + 4 ∣ = - 3

18 = 9 ∣ 6 - 8 m ∣