What is the answer to 7-|4x+1|=-2 ?

The answer to 7-|4x+1|=-2 is x=-5/2 \lor x=2

Solve for x: 7-|4x+1|=-2

The solution is x=-5/2 \lor x=2

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7 - ∣ 4 x + 1 ∣ = - 2

x = - \frac{5}{2} or x = 2

Decimal Notation

x = - 2.5, x = 2

Solution steps

7 - ∣ 4 x + 1 ∣ = - 2

Move

7

to the right side

- ∣ 4 x + 1 ∣ = - 9

Divide both sides by

- 1

∣ 4 x + 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 9 or 4 x + 1 = 9

4 x + 1 = - 9 or 4 x + 1 = 9

x = - \frac{5}{2} or x = 2

4 ∣ 2 c + 1 ∣ = 3 c + 18

2 ∣ x - 1 ∣ + 3 = 9

- 2 ∣ 2 p - 3 ∣ - 1 = - 11

x, 3 ∣ x - 2 ∣ = 4

∣ 4 x - 3 ∣ = 5 x + 4

What is the answer to 7-|4x+1|=-2 ?
The answer to 7-|4x+1|=-2 is x=-5/2 \lor x=2
Solve for x: 7-|4x+1|=-2
The solution is x=-5/2 \lor x=2