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

The answer to |2x+3|=|x-2| is x=-5\lor x=-1/3

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

The solution is x=-5\lor x=-1/3

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∣ 2 x + 3 ∣ = ∣ x - 2 ∣

x = - 5 or x = - \frac{1}{3}

Decimal

x = - 5, x = - 0.33333 \dots

Solution steps

∣ 2 x + 3 ∣ = ∣ x - 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 5 or x = - \frac{1}{3} or No Solution

x = - 5 or x = - \frac{1}{3}

3 ∣ 3 x - 5 ∣ = 12

- 3 = - 2 ∣ x + 1 ∣ - 1

2 x - 3 = 7

∣ x + 9 ∣ - 7 = 10

∣ x - 2 ∣ = x^{2} + 2 x + 4

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