What is the answer to 3|2x-5|=-9x ?

The answer to 3|2x-5|=-9x is x=-5

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3|2x-5|=-9x

3 ∣ 2 x - 5 ∣ = - 9 x

x = - 5

Solution steps

3 ∣ 2 x - 5 ∣ = - 9 x

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 5 or No Solution

x = - 5

∣ 1.51 x + 3.28 ∣ = 2.15

∣ 3 - 2 x ∣ = 4

∣ x - 10 ∣ = 17

∣ x - 10 ∣ = 12

\frac{1}{2} x + 6 = 2