What is the answer to |2x-4|=3x+6 ?

The answer to |2x-4|=3x+6 is x=-2/5

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|2x-4|=3x+6

∣ 2 x - 4 ∣ = 3 x + 6

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

∣ 2 x - 4 ∣ = 3 x + 6

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{2}{5} or No Solution

x = - \frac{2}{5}

5 (2 - v) - v = 2 (v + 1)

- 5 < \frac{5 z + 3}{8} < 3

5 x^{2} + 16 x - 84 = 0

∣ x + 2 ∣ = 0.5

- 8 v - 7 + 2 v = 23