What is the answer to |3x-5|-4=0 ?

The answer to |3x-5|-4=0 is x= 1/3 \lor x=3

Solve for x: |3x-5|-4=0

The solution is x= 1/3 \lor x=3

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∣ 3 x - 5 ∣ - 4 = 0

x = \frac{1}{3} or x = 3

Decimal Notation

x = 0.33333 \dots, x = 3

Solution steps

∣ 3 x - 5 ∣ - 4 = 0

Move

4

to the right side

∣ 3 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 4 or 3 x - 5 = 4

3 x - 5 = - 4 or 3 x - 5 = 4

x = \frac{1}{3} or x = 3

2 ∣ x - 2 ∣ - 3 = 9

∣ 2 x - 5 ∣ + 2 = 3

x^{2} - 8 ∣ x ∣ + 12 = 0

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

∣ 7 m + 3 ∣ + 6 = - 75