What is the answer to 14|3-8x|+14=52 ?

The answer to 14|3-8x|+14=52 is x= 1/28 \lor x= 5/7

Solve for x: 14|3-8x|+14=52

The solution is x= 1/28 \lor x= 5/7

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14 ∣ 3 - 8 x ∣ + 14 = 52

x = \frac{1}{28} or x = \frac{5}{7}

Solution steps

14 ∣ 3 - 8 x ∣ + 14 = 52

Move

14

to the right side

14 ∣ 3 - 8 x ∣ = 38

Divide both sides by

14

∣ 3 - 8 x ∣ = \frac{19}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 8 x = - \frac{19}{7} or 3 - 8 x = \frac{19}{7}

3 - 8 x = - \frac{19}{7} or 3 - 8 x = \frac{19}{7}

x = \frac{1}{28} or x = \frac{5}{7}

∣ - 6 k ∣ = 30

∣ 3 - x ∣ = 6

12 = \frac{b}{6}

3 ∣ 5 - w ∣ - 8 = 4

∣ 6 x - 3 ∣ = 9

What is the answer to 14|3-8x|+14=52 ?
The answer to 14|3-8x|+14=52 is x= 1/28 \lor x= 5/7
Solve for x: 14|3-8x|+14=52
The solution is x= 1/28 \lor x= 5/7