What is the answer to |4x+7|-5=19 ?

The answer to |4x+7|-5=19 is x=-31/4 \lor x= 17/4

Solve for x: |4x+7|-5=19

The solution is x=-31/4 \lor x= 17/4

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∣ 4 x + 7 ∣ - 5 = 19

x = - \frac{31}{4} or x = \frac{17}{4}

Decimal Notation

x = - 7.75, x = 4.25

Solution steps

∣ 4 x + 7 ∣ - 5 = 19

Move

5

to the right side

∣ 4 x + 7 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 7 = - 24 or 4 x + 7 = 24

4 x + 7 = - 24 or 4 x + 7 = 24

x = - \frac{31}{4} or x = \frac{17}{4}

∣ - 2 x ∣ + 5 = 13

- 2 ∣ y + 5 ∣ = - 10

∣ x + 1 ∣ = 2 x + 5

3 x + ∣ x ∣ = 2

∣ 6 w - 9 ∣ = 3

What is the answer to |4x+7|-5=19 ?
The answer to |4x+7|-5=19 is x=-31/4 \lor x= 17/4
Solve for x: |4x+7|-5=19
The solution is x=-31/4 \lor x= 17/4