What is the answer to |x-4|=5x+8 ?

The answer to |x-4|=5x+8 is x=-2/3

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|x-4|=5x+8

∣ x - 4 ∣ = 5 x + 8

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

∣ x - 4 ∣ = 5 x + 8

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

\frac{10 - x}{2} = 6

2 ∣ 5 x - 7 ∣ = 4

- 2 ∣ x + 10 ∣ = 6 x - 4

x^{2} - 25 = 25 - x^{2}

2 x - 7 + ∣ x + 1 ∣ = 0