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

The answer to |3x-5|-3=3 is x=-1/3 \lor x= 11/3

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

The solution is x=-1/3 \lor x= 11/3

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∣ 3 x - 5 ∣ - 3 = 3

x = - \frac{1}{3} or x = \frac{11}{3}

Decimal Notation

x = - 0.33333 \dots, x = 3.66666 \dots

Solution steps

∣ 3 x - 5 ∣ - 3 = 3

Move

3

to the right side

∣ 3 x - 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 6 or 3 x - 5 = 6

3 x - 5 = - 6 or 3 x - 5 = 6

x = - \frac{1}{3} or x = \frac{11}{3}

x^{2} + 6 x + 5 = 0

6 + 7 ∣ - 6 x + 5 ∣ = 69

∣ 2 x - 3 ∣ + 5 = 7

∣ 6 m + 3 ∣ - 4 = 35

x, ∣ 3 x - 8 ∣ = x

What is the answer to |3x-5|-3=3 ?
The answer to |3x-5|-3=3 is x=-1/3 \lor x= 11/3
Solve for x: |3x-5|-3=3
The solution is x=-1/3 \lor x= 11/3