What is the answer to 5|2x+6|=25 ?

The answer to 5|2x+6|=25 is x=-11/2 \lor x=-1/2

Solve for x: 5|2x+6|=25

The solution is x=-11/2 \lor x=-1/2

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5 ∣ 2 x + 6 ∣ = 25

x = - \frac{11}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 5.5, x = - 0.5

Solution steps

5 ∣ 2 x + 6 ∣ = 25

Divide both sides by

5

∣ 2 x + 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 5 or 2 x + 6 = 5

2 x + 6 = - 5 or 2 x + 6 = 5

x = - \frac{11}{2} or x = - \frac{1}{2}

∣ 2 x - 5 ∣ = 5

∣ 2 x - 5 ∣ = 0

∣ - 2 x + 10 ∣ = 30

∣ 2 x + 5 ∣ + 4 = 3

- ∣ 5 + 4 k ∣ + 10 = 9

What is the answer to 5|2x+6|=25 ?
The answer to 5|2x+6|=25 is x=-11/2 \lor x=-1/2
Solve for x: 5|2x+6|=25
The solution is x=-11/2 \lor x=-1/2