What is the answer to |2v+3|-6=14 ?

The answer to |2v+3|-6=14 is v=-23/2 \lor v= 17/2

Solve for v: |2v+3|-6=14

The solution is v=-23/2 \lor v= 17/2

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∣ 2 v + 3 ∣ - 6 = 14

v = - \frac{23}{2} or v = \frac{17}{2}

Decimal Notation

v = - 11.5, v = 8.5

Solution steps

∣ 2 v + 3 ∣ - 6 = 14

Move

6

to the right side

∣ 2 v + 3 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 v + 3 = - 20 or 2 v + 3 = 20

2 v + 3 = - 20 or 2 v + 3 = 20

v = - \frac{23}{2} or v = \frac{17}{2}

- 7 = \frac{∣ x - 3 ∣}{- 2}

∣ - y ∣ = - 18

∣ c - 3 ∣ = 3

∣ - 8 - n ∣ + 8 = 8

- 3 ∣ 1 - x ∣ - 2 = - 14

What is the answer to |2v+3|-6=14 ?
The answer to |2v+3|-6=14 is v=-23/2 \lor v= 17/2
Solve for v: |2v+3|-6=14
The solution is v=-23/2 \lor v= 17/2