What is the answer to |3r-5|=14 ?

The answer to |3r-5|=14 is r=-3\lor r= 19/3

Solve for r: |3r-5|=14

The solution is r=-3\lor r= 19/3

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∣ 3 r - 5 ∣ = 14

r = - 3 or r = \frac{19}{3}

Decimal Notation

r = - 3, r = 6.33333 \dots

Solution steps

∣ 3 r - 5 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 r - 5 = - 14 or 3 r - 5 = 14

3 r - 5 = - 14 or 3 r - 5 = 14

r = - 3 or r = \frac{19}{3}

∣ 2 x - 4 ∣ = 13

∣ 2 x - 4 ∣ = 16

∣ 2 x - 4 ∣ = 18

∣ 2 x - 4 ∣ = 20

5 - ∣ 3 x + 6 ∣ = 2