What is the answer to |x-1|=|3x+2| ?

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

Solve for x: |x-1|=|3x+2|

The solution is x=-3/2 \lor x=-1/4

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∣ x - 1 ∣ = ∣ 3 x + 2 ∣

x = - \frac{3}{2} or x = - \frac{1}{4}

Decimal Notation

x = - 1.5, x = - 0.25

Solution steps

∣ x - 1 ∣ = ∣ 3 x + 2 ∣

Find positive and negative intervals

x < - \frac{2}{3}, - \frac{2}{3} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or x = - \frac{1}{4} or No Solution

x = - \frac{3}{2} or x = - \frac{1}{4}

\frac{y ^{- 2} z ^{- 3}}{y ^{- 1}}

\frac{2 x - 5}{12} > \frac{- x}{4} - \frac{5}{3}

23 + 1 = 9

f^{- 1} (3)

(3 x - 1) = 0

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