What is the answer to 2|2x+9|+3=7 ?

The answer to 2|2x+9|+3=7 is x=-11/2 \lor x=-7/2

Solve for x: 2|2x+9|+3=7

The solution is x=-11/2 \lor x=-7/2

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2 ∣ 2 x + 9 ∣ + 3 = 7

x = - \frac{11}{2} or x = - \frac{7}{2}

Decimal Notation

x = - 5.5, x = - 3.5

Solution steps

2 ∣ 2 x + 9 ∣ + 3 = 7

Move

3

to the right side

2 ∣ 2 x + 9 ∣ = 4

Divide both sides by

2

∣ 2 x + 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{11}{2} or x = - \frac{7}{2}

∣ z ∣ + 2 = 4

∣ 3 x ∣ + 7 = 13

∣ x + 10 ∣ = 4

∣ x - 5 ∣ + 9 = 0

∣ 4 m + 2 ∣ = 10

What is the answer to 2|2x+9|+3=7 ?
The answer to 2|2x+9|+3=7 is x=-11/2 \lor x=-7/2
Solve for x: 2|2x+9|+3=7
The solution is x=-11/2 \lor x=-7/2