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

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

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|2x+3|+|x-2|=6x

∣ 2 x + 3 ∣ + ∣ x - 2 ∣ = 6 x

x = 1

Solution steps

∣ 2 x + 3 ∣ + ∣ x - 2 ∣ = 6 x

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ 6 - (3 d - 5) ∣ \leq 14

8 m^{3} + 27

\frac{x}{28} = \frac{6}{7}

- 4 - 1

2 (x - 3)^{2} < 3