What is the answer to |2x+9|+6=14 ?

The answer to |2x+9|+6=14 is x=-17/2 \lor x=-1/2

Solve for x: |2x+9|+6=14

The solution is x=-17/2 \lor x=-1/2

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∣ 2 x + 9 ∣ + 6 = 14

x = - \frac{17}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 8.5, x = - 0.5

Solution steps

∣ 2 x + 9 ∣ + 6 = 14

Move

6

to the right side

∣ 2 x + 9 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 9 = - 8 or 2 x + 9 = 8

2 x + 9 = - 8 or 2 x + 9 = 8

x = - \frac{17}{2} or x = - \frac{1}{2}

∣ 4 x + 2 ∣ + 2 = 2 x

∣ 4 x + 10 ∣ - 4 = 3 x

- 4 ∣ - 10 + x ∣ - 7 = - 103

∣ 3 x - 4 ∣ - 2 = 14

∣ y + 7 ∣ - 2 = - 5

What is the answer to |2x+9|+6=14 ?
The answer to |2x+9|+6=14 is x=-17/2 \lor x=-1/2
Solve for x: |2x+9|+6=14
The solution is x=-17/2 \lor x=-1/2