What is the answer to |3z-5|=|2z+10| ?

The answer to |3z-5|=|2z+10| is z=-1\lor z=15

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|3z-5|=|2z+10|

∣ 3 z - 5 ∣ = ∣ 2 z + 10 ∣

z = - 1 or z = 15

Solution steps

∣ 3 z - 5 ∣ = ∣ 2 z + 10 ∣

Find positive and negative intervals

z < - 5, - 5 \leq z < \frac{5}{3}, z \geq \frac{5}{3}

Solve the inequality for each interval

No Solution or z = - 1 or z = 15

z = - 1 or z = 15

18 = ∣ q - 1 ∣

∣ x - 4 ∣ + 8 = 13

∣ 4 x - 20 ∣ = 0

∣ x ∣ + 3 = 2

∣ 3 v - 6 ∣ + 11 = 32

What is the answer to |3z-5|=|2z+10| ?
The answer to |3z-5|=|2z+10| is z=-1\lor z=15
Solve for z: |3z-5|=|2z+10|
The solution is z=-1\lor z=15