What is the answer to 9-|2x+1|=3 ?

The answer to 9-|2x+1|=3 is x=-7/2 \lor x= 5/2

Solve for x: 9-|2x+1|=3

The solution is x=-7/2 \lor x= 5/2

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9 - ∣ 2 x + 1 ∣ = 3

x = - \frac{7}{2} or x = \frac{5}{2}

Decimal

x = - 3.5, x = 2.5

Solution steps

9 - ∣ 2 x + 1 ∣ = 3

Move

9

to the right side

- ∣ 2 x + 1 ∣ = - 6

Divide both sides by

- 1

∣ 2 x + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 6 or 2 x + 1 = 6

2 x + 1 = - 6 or 2 x + 1 = 6

x = - \frac{7}{2} or x = \frac{5}{2}

∣ 5 x - 7 ∣ = ∣ x - 4 ∣

\frac{2}{5} ∣ 3 x - 4 ∣ = 2 x + 4

∣ x + 1 ∣ + 2 = - x - 4

∣ 6 x - 12 ∣ = - 2 x^{2} + 8 x + 252

3 ∣ x ∣ + 7 = 28

What is the answer to 9-|2x+1|=3 ?
The answer to 9-|2x+1|=3 is x=-7/2 \lor x= 5/2
Solve for x: 9-|2x+1|=3
The solution is x=-7/2 \lor x= 5/2