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

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

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

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

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∣ 3 x - 5 ∣ = 4

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

Solution steps

∣ 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

∣ 3 - x ∣ = 5

(x - 1)^{2} + 4 ∣ x - 1 ∣ + 3 = 0

3 x - ∣ 1 - x ∣ = ∣ x + 3 ∣ - 3 ∣ 2 - x ∣

∣ x + 2 ∣ = 2 ∣ x + 1 ∣

∣ 2 x + 3 ∣ = ∣ 7 - x ∣