What is the answer to 6x=|1+3x| ?

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

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6x=|1+3x|

6 x = ∣ 1 + 3 x ∣

x = \frac{1}{3}

Solution steps

6 x = ∣ 1 + 3 x ∣

Find positive and negative intervals

x < - \frac{1}{3}, x \geq - \frac{1}{3}

Solve the inequality for each interval

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

x = \frac{1}{3}

∣ 2 x + 5 ∣ - 3 = 0

∣ 2 x + 5 ∣ - 3 = 9

∣ x - 2 ∣ = 15

∣ x - 2 ∣ = 19

∣ q + 3.5 q ∣ = 90