What is the answer to |3r+5|=|7r-25| ?

The answer to |3r+5|=|7r-25| is r=2\lor r= 15/2

Solve for r: |3r+5|=|7r-25|

The solution is r=2\lor r= 15/2

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∣ 3 r + 5 ∣ = ∣ 7 r - 25 ∣

r = 2 or r = \frac{15}{2}

Decimal Notation

r = 2, r = 7.5

Solution steps

∣ 3 r + 5 ∣ = ∣ 7 r - 25 ∣

Find positive and negative intervals

r < - \frac{5}{3}, - \frac{5}{3} \leq r < \frac{25}{7}, r \geq \frac{25}{7}

Solve the inequality for each interval

No Solution or r = 2 or r = \frac{15}{2}

r = 2 or r = \frac{15}{2}

3 x - 2 \leq 7

2 (3 x - 2) - x + 3 = x - 2

3 - ∣ 2 x + 4 ∣ \leq 1

- 3 (7 x + 1.4) - 7.9 = x

x^{2} + 4 x = 7

What is the answer to |3r+5|=|7r-25| ?
The answer to |3r+5|=|7r-25| is r=2\lor r= 15/2
Solve for r: |3r+5|=|7r-25|
The solution is r=2\lor r= 15/2