What is the answer to 2|4x-5|=12x-18 ?

The answer to 2|4x-5|=12x-18 is x=2

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2|4x-5|=12x-18

2 ∣ 4 x - 5 ∣ = 12 x - 18

x = 2

Solution steps

2 ∣ 4 x - 5 ∣ = 12 x - 18

Find positive and negative intervals

x < \frac{5}{4}, x \geq \frac{5}{4}

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ 2 x + 3 ∣ - 1 = 4

- 9 ∣ - 3 r + 1 ∣ - 7 = - 52

- ∣ x + 10 ∣ = 0

2 \cdot ∣ 4 - x ∣ = - 3 x

4 ∣ 5 k - 10 ∣ - 5 = 115