What is the answer to |3x-10|=5 ?

The answer to |3x-10|=5 is x= 5/3 \lor x=5

Solve for x: |3x-10|=5

The solution is x= 5/3 \lor x=5

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∣ 3 x - 10 ∣ = 5

x = \frac{5}{3} or x = 5

Decimal

x = 1.66666 \dots, x = 5

Solution steps

∣ 3 x - 10 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 10 = - 5 or 3 x - 10 = 5

3 x - 10 = - 5 or 3 x - 10 = 5

x = \frac{5}{3} or x = 5

∣ 2 x + 1 ∣ - x = 2 x

∣ 125 x - 34 ∣ = - 2

∣ 3 x - 5 ∣ = ∣ 6 x + 10 ∣

∣ 3 - 4 x ∣ = ∣ 2 x + 1 ∣

3 ∣ 2 x - 7 ∣ + 6 = 9