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

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

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

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

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∣ 2 x + 3 ∣ = x + 5

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

Decimal

x = - 2.66666 \dots, x = 2

Solution steps

∣ 2 x + 3 ∣ = x + 5

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

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

37 - 10 x = ∣ 7 - 35 ∣ - x^{2}

\frac{1}{4} x - 3 + 1 = 11

∣ 3 x - 12 ∣ = 6

\frac{x + 5}{2} + 3 = 2

∣ x - 3 ∣ + ∣ 1 - x ∣ = 2