What is the answer to |x-5|=|3x+6| ?

The answer to |x-5|=|3x+6| is x=-11/2 \lor x=-1/4

Solve for x: |x-5|=|3x+6|

The solution is x=-11/2 \lor x=-1/4

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∣ x - 5 ∣ = ∣ 3 x + 6 ∣

x = - \frac{11}{2} or x = - \frac{1}{4}

Decimal Notation

x = - 5.5, x = - 0.25

Solution steps

∣ x - 5 ∣ = ∣ 3 x + 6 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{11}{2} or x = - \frac{1}{4} or No Solution

x = - \frac{11}{2} or x = - \frac{1}{4}

\frac{1}{5} lo g_{a} (x) + 7 lo g_{a} (y) - lo g_{a} (z)

∣ 3 x + 5 ∣ \geq 2

3^{2} + 4

∣ 2 x + 3 ∣ \geq - 11

2 x^{5} - 32 x

What is the answer to |x-5|=|3x+6| ?
The answer to |x-5|=|3x+6| is x=-11/2 \lor x=-1/4
Solve for x: |x-5|=|3x+6|
The solution is x=-11/2 \lor x=-1/4