What is the answer to |3x-2|+5x-6=0 ?

The answer to |3x-2|+5x-6=0 is x=1

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|3x-2|+5x-6=0

∣ 3 x - 2 ∣ + 5 x - 6 = 0

x = 1

Solution steps

∣ 3 x - 2 ∣ + 5 x - 6 = 0

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ x + 8 ∣ + 2 = 7

0 = ∣ x - 2 ∣

∣ 3 x - 1 ∣ + 6 = 4

∣ 4 p - 9 ∣ = 6 + p

∣ 2 x - 5 ∣ = x - 7