What is the answer to |-4x+2|=8x+6 ?

The answer to |-4x+2|=8x+6 is x=-1/3

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|-4x+2|=8x+6

∣ - 4 x + 2 ∣ = 8 x + 6

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ - 4 x + 2 ∣ = 8 x + 6

Find positive and negative intervals

x \leq \frac{1}{2}, x > \frac{1}{2}

Solve the inequality for each interval

x = - \frac{1}{3} or No Solution

x = - \frac{1}{3}

- 10 = ∣ x ∣ - 12

∣ x - 4 ∣ = 4 - x

∣ x + 4 ∣ + 8 = 1

\frac{x}{3} - 2 - 8 = 0

16 = ∣ - 9 p ∣