What is the answer to |3x-2|=|2x+7| ?

The answer to |3x-2|=|2x+7| is x=-1\lor x=9

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|3x-2|=|2x+7|

∣ 3 x - 2 ∣ = ∣ 2 x + 7 ∣

x = - 1 or x = 9

Solution steps

∣ 3 x - 2 ∣ = ∣ 2 x + 7 ∣

Find positive and negative intervals

x < - \frac{7}{2}, - \frac{7}{2} \leq x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

No Solution or x = - 1 or x = 9

x = - 1 or x = 9

- 8 ∣ f ∣ + 6 = - 2

y, ∣ x + y ∣ = 1

- 9 ∣ x - 1 ∣ = - 90

- x^{2} + 7 x - 4 = 6

∣ 6 x - 9 ∣ = - 27

What is the answer to |3x-2|=|2x+7| ?
The answer to |3x-2|=|2x+7| is x=-1\lor x=9
Solve for x: |3x-2|=|2x+7|
The solution is x=-1\lor x=9