What is the answer to |2x-5|=3x+4 ?

The answer to |2x-5|=3x+4 is x= 1/5

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|2x-5|=3x+4

∣ 2 x - 5 ∣ = 3 x + 4

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

∣ 2 x - 5 ∣ = 3 x + 4

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = \frac{1}{5} or No Solution

x = \frac{1}{5}

1 = ∣ x ∣

∣ 3 y - 7 ∣ - 10 = - 5

∣ 2 b + 4 ∣ - 6 = 14

∣ 9 - 5 n ∣ = 14

- 10 ∣ x + 2 ∣ = 70