What is the answer to |2x-11|-4=-3 ?

The answer to |2x-11|-4=-3 is x=5\lor x=6

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|2x-11|-4=-3

∣ 2 x - 11 ∣ - 4 = - 3

x = 5 or x = 6

Solution steps

∣ 2 x - 11 ∣ - 4 = - 3

Move

4

to the right side

∣ 2 x - 11 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 11 = - 1 or 2 x - 11 = 1

2 x - 11 = - 1 or 2 x - 11 = 1

x = 5 or x = 6

5 ∣ x + 6 ∣ - 57 = - 7

2 ∣ x - 5 ∣ - 4 = 2

4 = ∣ d - 3 ∣

∣ x + 4 ∣ = - x + 8

\frac{1}{2} ∣ x - 4 ∣ = 6