What is the answer to |2x-5|=2-3x ?

The answer to |2x-5|=2-3x is x=-3

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|2x-5|=2-3x

∣ 2 x - 5 ∣ = 2 - 3 x

x = - 3

Solution steps

∣ 2 x - 5 ∣ = 2 - 3 x

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = - 3 or No Solution

x = - 3

∣ 4 x + 1 ∣ = 10

- 9 ∣ m ∣ = - 16

∣ 3 x - 5 ∣ = ∣ - 4 x + 7 ∣

∣ x ∣ = - 19.4

\frac{y - 1}{y + 1} = x