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

The answer to 3-|-5-3r|=-7 is r=-5\lor r= 5/3

Solve for r: 3-|-5-3r|=-7

The solution is r=-5\lor r= 5/3

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3 - ∣ - 5 - 3 r ∣ = - 7

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

Decimal Notation

r = - 5, r = 1.66666 \dots

Solution steps

3 - ∣ - 5 - 3 r ∣ = - 7

Move

3

to the right side

- ∣ - 5 - 3 r ∣ = - 10

Divide both sides by

- 1

∣ - 5 - 3 r ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 - 3 r = - 10 or - 5 - 3 r = 10

- 5 - 3 r = - 10 or - 5 - 3 r = 10

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

- 5 ∣ 2 x - 1 ∣ + 3 = - 10

- 3 ∣ x - 8 ∣ = 6 x - 12

\frac{9 - 4 x}{2} = 3

5 ∣ x + 7 ∣ + 14 = 8

∣ x + 2 ∣ - 6 = x^{2} - 7 x - 2

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