What is the answer to |x-5|=6x+15 ?

The answer to |x-5|=6x+15 is x=-10/7

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|x-5|=6x+15

∣ x - 5 ∣ = 6 x + 15

x = - \frac{10}{7}

Decimal Notation

x = - 1.42857 \dots

Solution steps

∣ x - 5 ∣ = 6 x + 15

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{10}{7} or No Solution

x = - \frac{10}{7}

∣ 4 y ∣ = 28

∣ x - 2 ∣ = x^{2} - 4

4 ∣ 10 - 2 x ∣ - 8 = 24

∣ 4 x - 5 ∣ = 7

∣ 5 x + 15 ∣ = 10