What is the answer to |3x+2|=|x-5| ?

The answer to |3x+2|=|x-5| is x=-7/2 \lor x= 3/4

Solve for x: |3x+2|=|x-5|

The solution is x=-7/2 \lor x= 3/4

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∣ 3 x + 2 ∣ = ∣ x - 5 ∣

x = - \frac{7}{2} or x = \frac{3}{4}

Decimal Notation

x = - 3.5, x = 0.75

Solution steps

∣ 3 x + 2 ∣ = ∣ x - 5 ∣

Find positive and negative intervals

x < - \frac{2}{3}, - \frac{2}{3} \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{7}{2} or x = \frac{3}{4} or No Solution

x = - \frac{7}{2} or x = \frac{3}{4}

\frac{5}{x - 2} < 0

- 3 \leq \frac{2 m + 6}{2} \leq 12

- 4 x = 24

1 - \frac{3}{7}

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

What is the answer to |3x+2|=|x-5| ?
The answer to |3x+2|=|x-5| is x=-7/2 \lor x= 3/4
Solve for x: |3x+2|=|x-5|
The solution is x=-7/2 \lor x= 3/4