What is the answer to |x-2|=6x+18 ?

The answer to |x-2|=6x+18 is x=-16/7

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|x-2|=6x+18

∣ x - 2 ∣ = 6 x + 18

x = - \frac{16}{7}

Decimal Notation

x = - 2.28571 \dots

Solution steps

∣ x - 2 ∣ = 6 x + 18

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{16}{7} or No Solution

x = - \frac{16}{7}

10 - 2 ∣ x + 2 ∣ = 5

4 ∣ x - 6 ∣ + 2 = 30

5 ∣ x - 3 ∣ - 12 = 8

\frac{2}{7} ∣ - x - 3 ∣ = 2

∣ 2 x - 12 ∣ = 30