What is the answer to |x-3|=5x+13 ?

The answer to |x-3|=5x+13 is x=-5/3

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|x-3|=5x+13

∣ x - 3 ∣ = 5 x + 13

x = - \frac{5}{3}

Decimal Notation

x = - 1.66666 \dots

Solution steps

∣ x - 3 ∣ = 5 x + 13

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{5}{3} or No Solution

x = - \frac{5}{3}

∣ 2 x + 6 ∣ = 2

\frac{2}{3} ∣ x ∣ = 9

∣ 3 + 5 x ∣ = 7

- 2 ∣ x - 5 ∣ - 11 = - 29

∣ 2 y + 8 ∣ + 7 = 1