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

The answer to |2x+7|-3=9 is x=-19/2 \lor x= 5/2

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

The solution is x=-19/2 \lor x= 5/2

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∣ 2 x + 7 ∣ - 3 = 9

x = - \frac{19}{2} or x = \frac{5}{2}

Decimal Notation

x = - 9.5, x = 2.5

Solution steps

∣ 2 x + 7 ∣ - 3 = 9

Move

3

to the right side

∣ 2 x + 7 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 12 or 2 x + 7 = 12

2 x + 7 = - 12 or 2 x + 7 = 12

x = - \frac{19}{2} or x = \frac{5}{2}

x^{2} + ∣ x ∣ - 2 = 0

3 ∣ x - 4 ∣ = 0

∣ 2 x - 5 ∣ + 3 = 0

3 ∣ x - 4 ∣ = 4

4 ∣ 10 x ∣ - 3 = 117

What is the answer to |2x+7|-3=9 ?
The answer to |2x+7|-3=9 is x=-19/2 \lor x= 5/2
Solve for x: |2x+7|-3=9
The solution is x=-19/2 \lor x= 5/2