What is the answer to -9=-3|2x-11| ?

The answer to -9=-3|2x-11| is x=4\lor x=7

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-9=-3|2x-11|

- 9 = - 3 ∣ 2 x - 11 ∣

x = 4 or x = 7

Solution steps

- 9 = - 3 ∣ 2 x - 11 ∣

Switch sides

- 3 ∣ 2 x - 11 ∣ = - 9

Divide both sides by

- 3

∣ 2 x - 11 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 11 = - 3 or 2 x - 11 = 3

2 x - 11 = - 3 or 2 x - 11 = 3

x = 4 or x = 7

5 ∣ 1 - 4 x ∣ - 12 = 3

∣ 2 y - 5 ∣ + 1 = y - 3

x = \frac{∣ y + 4 ∣}{y - 4}

∣ 14 - 3 x ∣ = 5 + x

∣ x - 2 ∣ + 2 + x^{2} + 4 x = 0