What is the answer to 14-|2x-3|=2 ?

The answer to 14-|2x-3|=2 is x=-9/2 \lor x= 15/2

Solve for x: 14-|2x-3|=2

The solution is x=-9/2 \lor x= 15/2

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14 - ∣ 2 x - 3 ∣ = 2

x = - \frac{9}{2} or x = \frac{15}{2}

Decimal

x = - 4.5, x = 7.5

Solution steps

14 - ∣ 2 x - 3 ∣ = 2

Move

14

to the right side

- ∣ 2 x - 3 ∣ = - 12

Divide both sides by

- 1

∣ 2 x - 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 12 or 2 x - 3 = 12

2 x - 3 = - 12 or 2 x - 3 = 12

x = - \frac{9}{2} or x = \frac{15}{2}

(\frac{3}{2}) + (\frac{∣ 7 x + 12 ∣}{2}) = 1

x^{2} + 1 + ∣ x + 1 ∣ = 2

5 - 4 ∣ 1 + 2 x ∣ = - 3

∣ 3 x ∣ + 3 = 12

∣ 5 x - 4 ∣ = 18

What is the answer to 14-|2x-3|=2 ?
The answer to 14-|2x-3|=2 is x=-9/2 \lor x= 15/2
Solve for x: 14-|2x-3|=2
The solution is x=-9/2 \lor x= 15/2