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

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

Solve for x: |3x-4|-5=3

The solution is x=-4/3 \lor x=4

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∣ 3 x - 4 ∣ - 5 = 3

x = - \frac{4}{3} or x = 4

Decimal Notation

x = - 1.33333 \dots, x = 4

Solution steps

∣ 3 x - 4 ∣ - 5 = 3

Move

5

to the right side

∣ 3 x - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 8 or 3 x - 4 = 8

3 x - 4 = - 8 or 3 x - 4 = 8

x = - \frac{4}{3} or x = 4

4 = ∣ m - 3 ∣

x^{2} - 2 = 14

- 2 ∣ - 7 d + 9 ∣ - 6 = - 12

∣ 6 v - 3 ∣ = 15

∣ 5 v - 10 ∣ = 5