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

The answer to |2x-5|=x+4 is x= 1/3 \lor x=9

Solve for x: |2x-5|=x+4

The solution is x= 1/3 \lor x=9

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∣ 2 x - 5 ∣ = x + 4

x = \frac{1}{3} or x = 9

Decimal Notation

x = 0.33333 \dots, x = 9

Solution steps

∣ 2 x - 5 ∣ = 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}{3} or x = 9

- 3 ∣ t ∣ - 5 = - 44

3 ∣ x + 4 ∣ = x - 5

0 = ∣ 4 m ∣

2 ∣ m ∣ = - 14

- 9 ∣ 3 x ∣ = - 81