What is the answer to 5|3x-7|+4=14 ?

The answer to 5|3x-7|+4=14 is x= 5/3 \lor x=3

Solve for x: 5|3x-7|+4=14

The solution is x= 5/3 \lor x=3

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5 ∣ 3 x - 7 ∣ + 4 = 14

x = \frac{5}{3} or x = 3

Decimal Notation

x = 1.66666 \dots, x = 3

Solution steps

5 ∣ 3 x - 7 ∣ + 4 = 14

Move

4

to the right side

5 ∣ 3 x - 7 ∣ = 10

Divide both sides by

5

∣ 3 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 2 or 3 x - 7 = 2

3 x - 7 = - 2 or 3 x - 7 = 2

x = \frac{5}{3} or x = 3

∣ 4 p - 7 ∣ = 3

2 ∣ 3 x - 5 ∣ = 20

∣ 4 x + 7 ∣ - 4 = 24

∣ 4 x + 7 ∣ - 4 = 20

4 ∣ 2 x + 5 ∣ + 10 = 37

What is the answer to 5|3x-7|+4=14 ?
The answer to 5|3x-7|+4=14 is x= 5/3 \lor x=3
Solve for x: 5|3x-7|+4=14
The solution is x= 5/3 \lor x=3