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

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

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

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

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4 - ∣ 5 - 3 x ∣ = 0

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

Decimal Notation

x = 0.33333 \dots, x = 3

Solution steps

4 - ∣ 5 - 3 x ∣ = 0

Move

4

to the right side

- ∣ 5 - 3 x ∣ = - 4

Divide both sides by

- 1

∣ 5 - 3 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 2 x + 1 ∣ = 1

- 5 ∣ 9 k ∣ + 1 = - 89

∣ 1 - x ∣ = 7

∣ 2 x + 7 ∣ = 3

- 2 ∣ x - 15 ∣ + 8 = 4