What is the answer to |x-2|=5x+10 ?

The answer to |x-2|=5x+10 is x=-4/3

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|x-2|=5x+10

∣ x - 2 ∣ = 5 x + 10

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

∣ x - 2 ∣ = 5 x + 10

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{4}{3} or No Solution

x = - \frac{4}{3}

∣ 2 w - 10 ∣ = 4

∣ 6 - 6 x ∣ = 48

\frac{x}{3} = 4

\frac{x}{3} = 5

3 ∣ x - 2 ∣ - 10 = 11