What is the answer to |2x+9|=4x ?

The answer to |2x+9|=4x is x= 9/2

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|2x+9|=4x

∣ 2 x + 9 ∣ = 4 x

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

∣ 2 x + 9 ∣ = 4 x

Find positive and negative intervals

x < - \frac{9}{2}, x \geq - \frac{9}{2}

Solve the inequality for each interval

No Solution or x = \frac{9}{2}

x = \frac{9}{2}

10 - 4 ∣ 2 x - 10 ∣ = 20

∣ m + 2 ∣ = 4

∣ m + 2 ∣ = 0

∣ x + 11 ∣ \leq = 5

2 ∣ 3 x + 9 ∣ + 1 = 3