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

The answer to |3x+2|=|7x-2| is x=0\lor x=1

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

∣ 3 x + 2 ∣ = ∣ 7 x - 2 ∣

x = 0 or x = 1

Solution steps

∣ 3 x + 2 ∣ = ∣ 7 x - 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 0 or x = 1

x = 0 or x = 1

x^{2} + 1 = 5

x^{2} + 1 = 2

2 ∣ x - 3 ∣ - 7 = 11

∣ 2 x - 5 ∣ - 3 = - 2

∣ - 3 x + 7 ∣ = 5

What is the answer to |3x+2|=|7x-2| ?
The answer to |3x+2|=|7x-2| is x=0\lor x=1
Solve for x: |3x+2|=|7x-2|
The solution is x=0\lor x=1