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

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

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|2t-3|=3t-2

∣ 2 t - 3 ∣ = 3 t - 2

t = 1

Solution steps

∣ 2 t - 3 ∣ = 3 t - 2

Find positive and negative intervals

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

Solve the inequality for each interval

t = 1 or No Solution

t = 1

9 + 2 ∣ 4 x - 5 ∣ = 13

13 = ∣ - 2 x + 5 ∣

9 - 2 ∣ 2 x + 1 ∣ = 5

x^{2} + x - 6 = x + 1

∣ 5 x + 7 ∣ - 9 = 3 x