What is the answer to |4x-17|-11=-3 ?

The answer to |4x-17|-11=-3 is x= 9/4 \lor x= 25/4

Solve for x: |4x-17|-11=-3

The solution is x= 9/4 \lor x= 25/4

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∣ 4 x - 17 ∣ - 11 = - 3

x = \frac{9}{4} or x = \frac{25}{4}

Decimal Notation

x = 2.25, x = 6.25

Solution steps

∣ 4 x - 17 ∣ - 11 = - 3

Move

11

to the right side

∣ 4 x - 17 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 17 = - 8 or 4 x - 17 = 8

4 x - 17 = - 8 or 4 x - 17 = 8

x = \frac{9}{4} or x = \frac{25}{4}

- 5 ∣ c - 6 ∣ = 20

∣ 2 x + 16 ∣ = x + 4

- 5 ∣ x - 7 ∣ + 2 = - 5

∣ 9 - 7 x ∣ = 0

\frac{∣ p - 1 ∣}{9} = 5

What is the answer to |4x-17|-11=-3 ?
The answer to |4x-17|-11=-3 is x= 9/4 \lor x= 25/4
Solve for x: |4x-17|-11=-3
The solution is x= 9/4 \lor x= 25/4