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

The answer to |5x-6|=x+5 is x= 1/6 \lor x= 11/4

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

The solution is x= 1/6 \lor x= 11/4

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∣ 5 x - 6 ∣ = x + 5

x = \frac{1}{6} or x = \frac{11}{4}

Decimal

x = 0.16666 \dots, x = 2.75

Solution steps

∣ 5 x - 6 ∣ = x + 5

Find positive and negative intervals

x < \frac{6}{5}, x \geq \frac{6}{5}

Solve the inequality for each interval

x = \frac{1}{6} or x = \frac{11}{4}

∣ x ∣ + 6 = 10

2 ∣ 3 x + 1 ∣ + 6 = 14

∣ 2 x + 8 ∣ = - 2 (x + 3)

\frac{∣ h - 5 ∣}{6} = 8

∣ x + 6 ∣ = 12

What is the answer to |5x-6|=x+5 ?
The answer to |5x-6|=x+5 is x= 1/6 \lor x= 11/4
Solve for x: |5x-6|=x+5
The solution is x= 1/6 \lor x= 11/4