What is the answer to 4|x+9|-6=4 ?

The answer to 4|x+9|-6=4 is x=-23/2 \lor x=-13/2

Solve for x: 4|x+9|-6=4

The solution is x=-23/2 \lor x=-13/2

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4 ∣ x + 9 ∣ - 6 = 4

x = - \frac{23}{2} or x = - \frac{13}{2}

Decimal Notation

x = - 11.5, x = - 6.5

Solution steps

4 ∣ x + 9 ∣ - 6 = 4

Move

6

to the right side

4 ∣ x + 9 ∣ = 10

Divide both sides by

4

∣ x + 9 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - \frac{5}{2} or x + 9 = \frac{5}{2}

x + 9 = - \frac{5}{2} or x + 9 = \frac{5}{2}

x = - \frac{23}{2} or x = - \frac{13}{2}

∣ - 14 y + 5 ∣ + 8 = 3

3 ∣ x - 2 ∣ + 4 = 2

2 ∣ x - 5 ∣ + 8 = 6

\frac{2}{3} x + 2 = 0

∣ 4 x ∣ = - 28

What is the answer to 4|x+9|-6=4 ?
The answer to 4|x+9|-6=4 is x=-23/2 \lor x=-13/2
Solve for x: 4|x+9|-6=4
The solution is x=-23/2 \lor x=-13/2