What is the answer to |5x-6|=6x+3 ?

The answer to |5x-6|=6x+3 is x= 3/11

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|5x-6|=6x+3

∣ 5 x - 6 ∣ = 6 x + 3

x = \frac{3}{11}

Decimal Notation

x = 0.27272 \dots

Solution steps

∣ 5 x - 6 ∣ = 6 x + 3

Find positive and negative intervals

x < \frac{6}{5}, x \geq \frac{6}{5}

Solve the inequality for each interval

x = \frac{3}{11} or No Solution

x = \frac{3}{11}

∣ x - 12 + 15 ∣ = 5

- 5 = 1 - ∣ x + 3 ∣

∣ 10 p ∣ = 50

x ∣ x + 10 ∣ = 4 x - 8

∣ x + 7.5 ∣ = 2