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

The answer to |x-2|=5(x+3) is x=-13/6

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|x-2|=5(x+3)

∣ x - 2 ∣ = 5 (x + 3)

x = - \frac{13}{6}

Decimal Notation

x = - 2.16666 \dots

Solution steps

∣ x - 2 ∣ = 5 (x + 3)

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{13}{6} or No Solution

x = - \frac{13}{6}

- 3 ∣ g - 4 ∣ = - 12

∣ - 3 x - 1 ∣ = 2

10 = ∣ n - 2 ∣ + 7

∣ v ∣ - 2 = 7

13 - ∣ x ∣ = 4