What is the answer to |x-1|=|3x+6| ?

The answer to |x-1|=|3x+6| is x=-7/2 \lor x=-5/4

Solve for x: |x-1|=|3x+6|

The solution is x=-7/2 \lor x=-5/4

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∣ x - 1 ∣ = ∣ 3 x + 6 ∣

x = - \frac{7}{2} or x = - \frac{5}{4}

Decimal Notation

x = - 3.5, x = - 1.25

Solution steps

∣ x - 1 ∣ = ∣ 3 x + 6 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{7}{2} or x = - \frac{5}{4} or No Solution

x = - \frac{7}{2} or x = - \frac{5}{4}

2 x^{2} - 7 x - 9

4 x - 2 \geq - 18 and 4 x + 6 \leq 30

- 144 x^{2} + 196

6 (\frac{1}{2})^{2}

x^{7} - x^{5}

What is the answer to |x-1|=|3x+6| ?
The answer to |x-1|=|3x+6| is x=-7/2 \lor x=-5/4
Solve for x: |x-1|=|3x+6|
The solution is x=-7/2 \lor x=-5/4