What is the answer to 19=|11-4x| ?

The answer to 19=|11-4x| is x=-2\lor x= 15/2

Solve for x: 19=|11-4x|

The solution is x=-2\lor x= 15/2

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19 = ∣ 11 - 4 x ∣

x = - 2 or x = \frac{15}{2}

Solution steps

19 = ∣ 11 - 4 x ∣

Switch sides

∣ 11 - 4 x ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

11 - 4 x = - 19 or 11 - 4 x = 19

11 - 4 x = - 19 or 11 - 4 x = 19

x = - 2 or x = \frac{15}{2}

11 = ∣ - 5 x + 9 ∣

∣ a + 21 ∣ = 16

∣ 3 x + 8 ∣ - 9 = - 5

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

∣ r - 6 ∣ = 3