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

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

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|-3-2x|=-x

∣ - 3 - 2 x ∣ = - x

x = - 3 or x = - 1

Solution steps

∣ - 3 - 2 x ∣ = - x

Find positive and negative intervals

x \leq - \frac{3}{2}, x > - \frac{3}{2}

Solve the inequality for each interval

x = - 3 or x = - 1

\frac{1}{7} x + 2 - 6 = - 6

- 4 ∣ 5 x + 4 ∣ + 25 = 9

6 ∣ x - 3 ∣ = 42

∣ 5 x - 8 ∣ - 4 = - 2

∣ x - 1 ∣ - ∣ x + 3 ∣ = - 4