What is the answer to |3x+4|-6=7 ?

The answer to |3x+4|-6=7 is x=-17/3 \lor x=3

Solve for x: |3x+4|-6=7

The solution is x=-17/3 \lor x=3

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∣ 3 x + 4 ∣ - 6 = 7

x = - \frac{17}{3} or x = 3

Decimal Notation

x = - 5.66666 \dots, x = 3

Solution steps

∣ 3 x + 4 ∣ - 6 = 7

Move

6

to the right side

∣ 3 x + 4 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 13 or 3 x + 4 = 13

3 x + 4 = - 13 or 3 x + 4 = 13

x = - \frac{17}{3} or x = 3

- 8 - 4 ∣ 5 + 2 x ∣ = - 68

∣ x - 6 ∣ = 20

- 10 + ∣ 9 - 6 x ∣ = - 1

∣ 5 - 2 x ∣ = 1

x^{2} - 3 x - 1 = 1