What is the answer to 3|2x+1|-6=12 ?

The answer to 3|2x+1|-6=12 is x=-7/2 \lor x= 5/2

Solve for x: 3|2x+1|-6=12

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

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3 ∣ 2 x + 1 ∣ - 6 = 12

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

Decimal Notation

x = - 3.5, x = 2.5

Solution steps

3 ∣ 2 x + 1 ∣ - 6 = 12

Move

6

to the right side

3 ∣ 2 x + 1 ∣ = 18

Divide both sides by

3

∣ 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}

∣ 8 - 3 s ∣ = 9

- 9 ∣ 3 z - 7 ∣ + 1 = 4

3 ∣ 4 x - 10 ∣ - 5 = 13

∣ 4 v - 2 ∣ = 10

∣ 1 + 9 a ∣ = 53

What is the answer to 3|2x+1|-6=12 ?
The answer to 3|2x+1|-6=12 is x=-7/2 \lor x= 5/2
Solve for x: 3|2x+1|-6=12
The solution is x=-7/2 \lor x= 5/2