What is the answer to |2x+5|=x+6 ?

The answer to |2x+5|=x+6 is x=-11/3 \lor x=1

Solve for x: |2x+5|=x+6

The solution is x=-11/3 \lor x=1

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∣ 2 x + 5 ∣ = x + 6

x = - \frac{11}{3} or x = 1

Decimal Notation

x = - 3.66666 \dots, x = 1

Solution steps

∣ 2 x + 5 ∣ = x + 6

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{11}{3} or x = 1

∣ v + 8 ∣ = 7

2 ∣ x - 1 ∣ = 8

∣ 3 x - 4 ∣ = x^{2}

0 = ∣ x - 1 ∣ - 2

\frac{x}{3} + 4 = 5