What is the answer to 5|3x-7|=10 ?

The answer to 5|3x-7|=10 is x= 5/3 \lor x=3

Solve for x: 5|3x-7|=10

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

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5 ∣ 3 x - 7 ∣ = 10

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

Decimal Notation

x = 1.66666 \dots, x = 3

Solution steps

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

x - \frac{3}{8} = 2

∣ 3 x + 1 ∣ = x + 5

- 3 + 4 ∣ 5 x - 3 ∣ = 25

∣ 2 x - 4 ∣ = 2 x + 2

2 ∣ k - 4 ∣ = 6