What is the answer to |x-2|=|3x+4| ?

The answer to |x-2|=|3x+4| is x=-3\lor x=-1/2

Solve for x: |x-2|=|3x+4|

The solution is x=-3\lor x=-1/2

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∣ x - 2 ∣ = ∣ 3 x + 4 ∣

x = - 3 or x = - \frac{1}{2}

Decimal Notation

x = - 3, x = - 0.5

Solution steps

∣ x - 2 ∣ = ∣ 3 x + 4 ∣

Find positive and negative intervals

x < - \frac{4}{3}, - \frac{4}{3} \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 3 or x = - \frac{1}{2} or No Solution

x = - 3 or x = - \frac{1}{2}

- x^{2} + 9 = 0

(\frac{1}{2} + \frac{1}{4}) - (\frac{1}{3} + \frac{5}{3})

2 x + 1 > 2 + 2 x + 1

9 (- 3) + 4 (- 2) < 14

\frac{2}{6 + 2}

What is the answer to |x-2|=|3x+4| ?
The answer to |x-2|=|3x+4| is x=-3\lor x=-1/2
Solve for x: |x-2|=|3x+4|
The solution is x=-3\lor x=-1/2