What is the answer to |-3x+2|=x+6 ?

The answer to |-3x+2|=x+6 is x=-1\lor x=4

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|-3x+2|=x+6

∣ - 3 x + 2 ∣ = x + 6

x = - 1 or x = 4

Solution steps

∣ - 3 x + 2 ∣ = x + 6

Find positive and negative intervals

x \leq \frac{2}{3}, x > \frac{2}{3}

Solve the inequality for each interval

x = - 1 or x = 4

89 x^{2} + 38 x - 45 = 0

1 + 2

7 x - 7 = 2 x - 1

5 (2 + x) - x = 10 + 4 (x + 1)

2 n^{2} + 5 n + 3 = 0