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

The answer to |5-4x|=3 is x= 1/2 \lor x=2

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

The solution is x= 1/2 \lor x=2

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∣ 5 - 4 x ∣ = 3

x = \frac{1}{2} or x = 2

Decimal Notation

x = 0.5, x = 2

Solution steps

∣ 5 - 4 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{2} or x = 2

∣ 2 x + 11 ∣ = 3

∣ c x - d ∣ = ab

- 5 ∣ 3 + 4 k ∣ = 115

\frac{∣ 2 m + 5 ∣}{7} = 1

∣ 3 - x ∣ = 1