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

The answer to |2x-3|=|x+7| is x=-4/3 \lor x=10

Solve for x: |2x-3|=|x+7|

The solution is x=-4/3 \lor x=10

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∣ 2 x - 3 ∣ = ∣ x + 7 ∣

x = - \frac{4}{3} or x = 10

Solution steps

∣ 2 x - 3 ∣ = ∣ x + 7 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - \frac{4}{3} or x = 10

x = - \frac{4}{3} or x = 10

- x^{2} + 4 x - 7 - x^{2} + 4 x - 7 = 0

∣ x - 5 ∣ + ∣ x + 6 ∣ = ∣ 2 x + 1 ∣

x^{2} + 4 x - 5 = x^{2} - 1

∣ x - 3 ∣ + ∣ x - 2 ∣ = 1

x^{2} - 1 + 2 - x^{2} = 1

What is the answer to |2x-3|=|x+7| ?
The answer to |2x-3|=|x+7| is x=-4/3 \lor x=10
Solve for x: |2x-3|=|x+7|
The solution is x=-4/3 \lor x=10