What is the answer to 5+2|2x+4|=99 ?

The answer to 5+2|2x+4|=99 is x=-51/2 \lor x= 43/2

Solve for x: 5+2|2x+4|=99

The solution is x=-51/2 \lor x= 43/2

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5 + 2 ∣ 2 x + 4 ∣ = 99

x = - \frac{51}{2} or x = \frac{43}{2}

Solution steps

5 + 2 ∣ 2 x + 4 ∣ = 99

Move

5

to the right side

2 ∣ 2 x + 4 ∣ = 94

Divide both sides by

2

∣ 2 x + 4 ∣ = 47

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 47 or 2 x + 4 = 47

2 x + 4 = - 47 or 2 x + 4 = 47

x = - \frac{51}{2} or x = \frac{43}{2}

∣ x + 4 ∣ + 8 = 5

- 3 ∣ 5 x + 1 ∣ + 4 = 4

∣ u ∣ = 25

∣ u ∣ = 16

- 3 + 10 ∣ n - 10 ∣ = 7

What is the answer to 5+2|2x+4|=99 ?
The answer to 5+2|2x+4|=99 is x=-51/2 \lor x= 43/2
Solve for x: 5+2|2x+4|=99
The solution is x=-51/2 \lor x= 43/2