What is the answer to |-2x|=3x+6 ?

The answer to |-2x|=3x+6 is x=-6/5

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|-2x|=3x+6

∣ - 2 x ∣ = 3 x + 6

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

∣ - 2 x ∣ = 3 x + 6

Find positive and negative intervals

x \leq 0, x > 0

Solve the inequality for each interval

x = - \frac{6}{5} or No Solution

x = - \frac{6}{5}

4 - ∣ 3 x + 5 ∣ = 3

∣ 2 x + 9 ∣ = 30

∣ - 5 n ∣ = 5

∣ 2 - 3 x ∣ + 2 - 3 x = 6

∣ 4 x + 2 ∣ = 12