What is the answer to 3|x-2|=6x+9 ?

The answer to 3|x-2|=6x+9 is x=-1/3

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3|x-2|=6x+9

3 ∣ x - 2 ∣ = 6 x + 9

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

3 ∣ x - 2 ∣ = 6 x + 9

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

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

x = - \frac{1}{3}

\frac{3}{- 4 i}

∣ 4 x - 5 ∣ = ∣ - x + 5 ∣

10 x^{3} + 8 x^{2} - 6 x

80 r^{2} - 125

3 = \frac{g}{- 4} - 5