What is the answer to |x-5|=6x+10 ?

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

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|x-5|=6x+10

∣ x - 5 ∣ = 6 x + 10

x = - \frac{5}{7}

Decimal Notation

x = - 0.71428 \dots

Solution steps

∣ x - 5 ∣ = 6 x + 10

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{5}{7} or No Solution

x = - \frac{5}{7}

∣ a x + b x ∣ = c d

∣ 14 - 2 x ∣ = 20

∣ 4 x - 22 ∣ - 5 = - 3

∣ x (4 - x) + 4 ∣ = 0

∣ 4 x - 8 ∣ = 32