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

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

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

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

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11 = ∣ - 5 x + 9 ∣

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

Solution steps

11 = ∣ - 5 x + 9 ∣

Switch sides

∣ - 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

∣ a + 21 ∣ = 16

∣ 3 x + 8 ∣ - 9 = - 5

\frac{x}{7} - 5 = - 4

∣ r - 6 ∣ = 3

28 = ∣ c - 2 ∣