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

The answer to 3=|2x-14| is x= 11/2 \lor x= 17/2

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

The solution is x= 11/2 \lor x= 17/2

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3 = ∣ 2 x - 14 ∣

x = \frac{11}{2} or x = \frac{17}{2}

Decimal

x = 5.5, x = 8.5

Solution steps

3 = ∣ 2 x - 14 ∣

Switch sides

∣ 2 x - 14 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 14 = - 3 or 2 x - 14 = 3

2 x - 14 = - 3 or 2 x - 14 = 3

x = \frac{11}{2} or x = \frac{17}{2}

x^{3} - ∣ x ∣ = 0

(x - 5)^{2} = ∣ 2 x - 1 ∣

∣ 5 x + 3 ∣ = 0

2 ∣ 3 x - 3 ∣ 2 x = \frac{1}{12}

∣ 2 x - 3 ∣ + 6 = 2

What is the answer to 3=|2x-14| ?
The answer to 3=|2x-14| is x= 11/2 \lor x= 17/2
Solve for x: 3=|2x-14|
The solution is x= 11/2 \lor x= 17/2