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

The answer to |2x-1|=3-2x is x=1

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|2x-1|=3-2x

∣ 2 x - 1 ∣ = 3 - 2 x

x = 1

Solution steps

∣ 2 x - 1 ∣ = 3 - 2 x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 4

[x^{2} - 2] = 4

\frac{( 4 w - 1 )}{6} = 2 \frac{w}{3} + \frac{1}{4}

∣ x - 2 ∣ + ∣ x + 2 ∣ = 3

x, ∣ y ∣ + x^{2} = 1