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

The answer to |8x+2|=2-x is x=-4/7 \lor x=0

Solve for x: |8x+2|=2-x

The solution is x=-4/7 \lor x=0

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∣ 8 x + 2 ∣ = 2 - x

x = - \frac{4}{7} or x = 0

Solution steps

∣ 8 x + 2 ∣ = 2 - x

Find positive and negative intervals

x < - \frac{1}{4}, x \geq - \frac{1}{4}

Solve the inequality for each interval

x = - \frac{4}{7} or x = 0

- ∣ - 2 r - 1 ∣ = 11

3 - 7 ∣ x - 4 ∣ = 17

\frac{x}{2} = 6

∣ x + 3 ∣ = 3

8 + ∣ 5 + 3 x ∣ = 10