What is the answer to |3r+5|=35 ?

The answer to |3r+5|=35 is r=-40/3 \lor r=10

Solve for r: |3r+5|=35

The solution is r=-40/3 \lor r=10

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∣ 3 r + 5 ∣ = 35

r = - \frac{40}{3} or r = 10

Decimal Notation

r = - 13.33333 \dots, r = 10

Solution steps

∣ 3 r + 5 ∣ = 35

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 r + 5 = - 35 or 3 r + 5 = 35

3 r + 5 = - 35 or 3 r + 5 = 35

r = - \frac{40}{3} or r = 10

2 ∣ 3 x - 1 ∣ + 5 = 33

∣ x ∣ = 21

∣ x ∣ = 29

∣ x - 5 ∣ = 3 + x

∣ 8 + 2 x ∣ = - 4