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

The answer to |2x-3|=3-2x is x<= 3/2

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|2x-3|=3-2x

∣ 2 x - 3 ∣ = 3 - 2 x

x \leq \frac{3}{2}

Solution steps

∣ 2 x - 3 ∣ = 3 - 2 x

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x < \frac{3}{2} or x = \frac{3}{2}

Merge Overlapping Intervals

x \leq \frac{3}{2}

- 2 ∣ 7 - 3 y ∣ - 6 = - 14

∣ 8 - 2 n ∣ - 5 n = n + 2

x^{3} - 4 x = 7 - x

4 ∣ 3 x + 4 ∣ = 4 x + 8

∣ 5 - 3 p ∣ + 9 = 13 p + 8