What is the answer to |4x+5|-4=16 ?

The answer to |4x+5|-4=16 is x=-25/4 \lor x= 15/4

Solve for x: |4x+5|-4=16

The solution is x=-25/4 \lor x= 15/4

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∣ 4 x + 5 ∣ - 4 = 16

x = - \frac{25}{4} or x = \frac{15}{4}

Decimal Notation

x = - 6.25, x = 3.75

Solution steps

∣ 4 x + 5 ∣ - 4 = 16

Move

4

to the right side

∣ 4 x + 5 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 5 = - 20 or 4 x + 5 = 20

4 x + 5 = - 20 or 4 x + 5 = 20

x = - \frac{25}{4} or x = \frac{15}{4}

∣ 2 x + 3 ∣ = 2

∣ 2 x + 3 ∣ = 4

∣ 8 x + 3 ∣ = 7

- 2 ∣ x - 6 ∣ - 17 = 3

7 ∣ x - 6 ∣ = 4

What is the answer to |4x+5|-4=16 ?
The answer to |4x+5|-4=16 is x=-25/4 \lor x= 15/4
Solve for x: |4x+5|-4=16
The solution is x=-25/4 \lor x= 15/4