What is the answer to |4x+7|-4=16 ?

The answer to |4x+7|-4=16 is x=-27/4 \lor x= 13/4

Solve for x: |4x+7|-4=16

The solution is x=-27/4 \lor x= 13/4

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∣ 4 x + 7 ∣ - 4 = 16

x = - \frac{27}{4} or x = \frac{13}{4}

Decimal Notation

x = - 6.75, x = 3.25

Solution steps

∣ 4 x + 7 ∣ - 4 = 16

Move

4

to the right side

∣ 4 x + 7 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 7 = - 20 or 4 x + 7 = 20

4 x + 7 = - 20 or 4 x + 7 = 20

x = - \frac{27}{4} or x = \frac{13}{4}

∣ 3 x + 1 ∣ = 0

\frac{n}{3} = 3

∣ x + 8 ∣ = - 1

∣ 1 - 2 x ∣ = 3

4 ∣ 7 y + 2 ∣ - 11 = - 7

What is the answer to |4x+7|-4=16 ?
The answer to |4x+7|-4=16 is x=-27/4 \lor x= 13/4
Solve for x: |4x+7|-4=16
The solution is x=-27/4 \lor x= 13/4