What is the answer to |5x-3|=17 ?

The answer to |5x-3|=17 is x=-14/5 \lor x=4

Solve for x: |5x-3|=17

The solution is x=-14/5 \lor x=4

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∣ 5 x - 3 ∣ = 17

x = - \frac{14}{5} or x = 4

Decimal

x = - 2.8, x = 4

Solution steps

∣ 5 x - 3 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 3 = - 17 or 5 x - 3 = 17

5 x - 3 = - 17 or 5 x - 3 = 17

x = - \frac{14}{5} or x = 4

∣ x - 1 ∣ + ∣ 3 - x ∣ = 2

∣ 5 x - 3 ∣ = 20

∣ 5 x - 3 ∣ = - 6

3 - \frac{x}{2} = \frac{x}{3} + 6

∣ 7 x - 7 ∣ = ∣ x - 1 ∣