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

The answer to 3|5-x|=5 is x= 10/3 \lor x= 20/3

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

The solution is x= 10/3 \lor x= 20/3

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3 ∣ 5 - x ∣ = 5

x = \frac{10}{3} or x = \frac{20}{3}

Solution steps

3 ∣ 5 - x ∣ = 5

Divide both sides by

3

∣ 5 - x ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{10}{3} or x = \frac{20}{3}

∣ x + 9 ∣ = 2 x

∣ a - 5 ∣ + 4 = 9

∣ 5 x - 9 ∣ = 1

∣ 3 - 7 x ∣ = 4

6 x^{2} + x - 11 = 4