What is the answer to 2|4x+9|-5=15 ?

The answer to 2|4x+9|-5=15 is x=-19/4 \lor x= 1/4

Solve for x: 2|4x+9|-5=15

The solution is x=-19/4 \lor x= 1/4

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2 ∣ 4 x + 9 ∣ - 5 = 15

x = - \frac{19}{4} or x = \frac{1}{4}

Decimal

x = - 4.75, x = 0.25

Solution steps

2 ∣ 4 x + 9 ∣ - 5 = 15

Move

5

to the right side

2 ∣ 4 x + 9 ∣ = 20

Divide both sides by

2

∣ 4 x + 9 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 9 = - 10 or 4 x + 9 = 10

4 x + 9 = - 10 or 4 x + 9 = 10

x = - \frac{19}{4} or x = \frac{1}{4}

∣ 4 k + 5 ∣ = ∣ 3 k - 2 ∣

∣ x - 3 ∣ + ∣ x + 2 ∣ = 5

3 ∣ 2 x + 9 ∣ + 12 = 10

∣ 5 x + 1 ∣ = 2

- 13 + 11 ∣ - 10 x + 13 ∣ = 16

What is the answer to 2|4x+9|-5=15 ?
The answer to 2|4x+9|-5=15 is x=-19/4 \lor x= 1/4
Solve for x: 2|4x+9|-5=15
The solution is x=-19/4 \lor x= 1/4