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

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

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

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

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∣ 2 - 3 x ∣ = ∣ x ∣

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

Decimal

x = 0.5, x = 1

Solution steps

∣ 2 - 3 x ∣ = ∣ x ∣

Find positive and negative intervals

x < 0, 0 \leq x \leq \frac{2}{3}, x > \frac{2}{3}

Solve the inequality for each interval

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

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

∣ 4 x - 3 ∣ = 2 x + 3

(\frac{x}{2}) + 3 = (\frac{14}{9})

a, ∣ 4 a - 5 b ∣ - ∣ 2 a - b ∣ = 0

3 x - x^{3} = x

6 + ∣ x - 1 ∣ = 9