What is the answer to |2x-9|=3x+1 ?

The answer to |2x-9|=3x+1 is x= 8/5

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|2x-9|=3x+1

∣ 2 x - 9 ∣ = 3 x + 1

x = \frac{8}{5}

Decimal Notation

x = 1.6

Solution steps

∣ 2 x - 9 ∣ = 3 x + 1

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{8}{5} or No Solution

x = \frac{8}{5}

b (x) = - ∣ x - 3 ∣ + 2

- 2 ∣ z ∣ = 6

x^{2} + 8 x + 1 = ∣ x + 6 ∣ + 6

∣ x + 4 ∣ = - 1

∣ x - 2 ∣ + 3 = 15