What is the answer to |-5x+9|=11 ?

The answer to |-5x+9|=11 is x=-2/5 \lor x=4

Solve for x: |-5x+9|=11

The solution is x=-2/5 \lor x=4

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∣ - 5 x + 9 ∣ = 11

x = - \frac{2}{5} or x = 4

Decimal Notation

x = - 0.4, x = 4

Solution steps

∣ - 5 x + 9 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x + 9 = - 11 or - 5 x + 9 = 11

- 5 x + 9 = - 11 or - 5 x + 9 = 11

x = - \frac{2}{5} or x = 4

- 2 ∣ - 5 m - 4 ∣ - 2 = - 14

5 + ∣ 6 - 3 x ∣ = 3 x + 3

∣ (m - 3) x + 5 ∣ = m + 5

2 - 5 ∣ 4 x - 10 ∣ = 43

∣ - 4 x + 20 ∣ + 24 x = 40