What is the answer to -5=(|r-7|)/(-3) ?

The answer to -5=(|r-7|)/(-3) is r=-8\lor r=22

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-5=(|r-7|)/(-3)

- 5 = \frac{∣ r - 7 ∣}{- 3}

r = - 8 or r = 22

Solution steps

- 5 = \frac{∣ r - 7 ∣}{- 3}

Switch sides

\frac{∣ r - 7 ∣}{- 3} = - 5

Multiply both sides by

- 3

∣ r - 7 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

r - 7 = - 15 or r - 7 = 15

r - 7 = - 15 or r - 7 = 15

r = - 8 or r = 22

4 = ∣ v + 6 ∣

∣ 3 - 2 t ∣ + 4 = 15

\frac{1}{3} ∣ 7 - 4 x ∣ = 3

∣ 6 x + 36 ∣ = 12 x

8 - ∣ 3 x - 15 ∣ = 0

What is the answer to -5=(|r-7|)/(-3) ?
The answer to -5=(|r-7|)/(-3) is r=-8\lor r=22
Solve for r: -5=(|r-7|)/(-3)
The solution is r=-8\lor r=22