What is the answer to 2|3x+1|-7=13 ?

The answer to 2|3x+1|-7=13 is x=-11/3 \lor x=3

Solve for x: 2|3x+1|-7=13

The solution is x=-11/3 \lor x=3

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2 ∣ 3 x + 1 ∣ - 7 = 13

x = - \frac{11}{3} or x = 3

Decimal

x = - 3.66666 \dots, x = 3

Solution steps

2 ∣ 3 x + 1 ∣ - 7 = 13

Move

7

to the right side

2 ∣ 3 x + 1 ∣ = 20

Divide both sides by

2

∣ 3 x + 1 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 10 or 3 x + 1 = 10

3 x + 1 = - 10 or 3 x + 1 = 10

x = - \frac{11}{3} or x = 3

∣ 2 x + 3 ∣ + 3 = 7

∣ y - 5 ∣ = 6

3 ∣ x ∣ + 5 = 8

21 - 7 ∣ 2 x + 5 ∣ = - 14

∣ 3 - 2 x ∣ - ∣ x + 5 ∣ = - 3 x - 2

What is the answer to 2|3x+1|-7=13 ?
The answer to 2|3x+1|-7=13 is x=-11/3 \lor x=3
Solve for x: 2|3x+1|-7=13
The solution is x=-11/3 \lor x=3