What is the answer to |x-2|=6x+13 ?

The answer to |x-2|=6x+13 is x=-11/7

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|x-2|=6x+13

∣ x - 2 ∣ = 6 x + 13

x = - \frac{11}{7}

Decimal Notation

x = - 1.57142 \dots

Solution steps

∣ x - 2 ∣ = 6 x + 13

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{11}{7} or No Solution

x = - \frac{11}{7}

∣ 3 x - 2 ∣ = 23

10 - 4 ∣ 4 - 5 x ∣ = - 26

\frac{t}{2} = - 6

1 = ∣ r + 4 ∣

∣ 4 x - 10 ∣ = 50