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

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

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

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

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∣ 5 - 3 x ∣ = 4

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

Decimal Notation

x = 0.33333 \dots, x = 3

Solution steps

∣ 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

∣ x - 1 ∣ = 11

∣ x - 1 ∣ = 10

∣ x - 1 ∣ = 20

∣ 3 x - 5 ∣ = 14

∣ 11 - 4 b ∣ = 1818