What is the answer to |x-4|=6x+16 ?

The answer to |x-4|=6x+16 is x=-12/7

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|x-4|=6x+16

∣ x - 4 ∣ = 6 x + 16

x = - \frac{12}{7}

Decimal Notation

x = - 1.71428 \dots

Solution steps

∣ x - 4 ∣ = 6 x + 16

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{12}{7} or No Solution

x = - \frac{12}{7}

3 - 8 ∣ 10 - 2 x ∣ = - 29

∣ x ∣ + 3 = 14

\frac{c}{12} = 8

1 - \frac{2}{3} v = 3

- 3 ∣ 2 x - 1 ∣ + 5 = - 10