What is the answer to |2x+5|-3=11 ?

The answer to |2x+5|-3=11 is x=-19/2 \lor x= 9/2

Solve for x: |2x+5|-3=11

The solution is x=-19/2 \lor x= 9/2

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∣ 2 x + 5 ∣ - 3 = 11

x = - \frac{19}{2} or x = \frac{9}{2}

Decimal Notation

x = - 9.5, x = 4.5

Solution steps

∣ 2 x + 5 ∣ - 3 = 11

Move

3

to the right side

∣ 2 x + 5 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 14 or 2 x + 5 = 14

2 x + 5 = - 14 or 2 x + 5 = 14

x = - \frac{19}{2} or x = \frac{9}{2}

3 ∣ 2 x + 5 ∣ - 11 = - 2

∣ 2 y - 5 ∣ = 29

x^{2} + x - 9 = 3

∣ 7 - 4 x ∣ = 3

6 ∣ x ∣ = 24

What is the answer to |2x+5|-3=11 ?
The answer to |2x+5|-3=11 is x=-19/2 \lor x= 9/2
Solve for x: |2x+5|-3=11
The solution is x=-19/2 \lor x= 9/2