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

The answer to |2x+5|=x+3 is x=-8/3 \lor x=-2

Solve for x: |2x+5|=x+3

The solution is x=-8/3 \lor x=-2

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∣ 2 x + 5 ∣ = x + 3

x = - \frac{8}{3} or x = - 2

Decimal Notation

x = - 2.66666 \dots, x = - 2

Solution steps

∣ 2 x + 5 ∣ = x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{8}{3} or x = - 2

∣ x + 6 ∣ = - 8

∣ 2 x + 5 ∣ = 17

∣ 2 x - 3 ∣ = 4 - x

7 ∣ x ∣ = 14

2 ∣ 6 x - 2 ∣ = - 8