What is the answer to 11=|5-4x| ?

The answer to 11=|5-4x| is x=-3/2 \lor x=4

Solve for x: 11=|5-4x|

The solution is x=-3/2 \lor x=4

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11 = ∣ 5 - 4 x ∣

x = - \frac{3}{2} or x = 4

Solution steps

11 = ∣ 5 - 4 x ∣

Switch sides

∣ 5 - 4 x ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 4 x = - 11 or 5 - 4 x = 11

5 - 4 x = - 11 or 5 - 4 x = 11

x = - \frac{3}{2} or x = 4

- 3 ∣ 5 x - 2 ∣ = - 12

4 \frac{2 x}{3} = 14

- 7 ∣ c ∣ = 0

\frac{6 x + 2}{4} = 5

27 = ∣ x - 16 ∣