What is the answer to 2|4x-5|=14x-6 ?

The answer to 2|4x-5|=14x-6 is x= 8/11

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2|4x-5|=14x-6

2 ∣ 4 x - 5 ∣ = 14 x - 6

x = \frac{8}{11}

Decimal Notation

x = 0.72727 \dots

Solution steps

2 ∣ 4 x - 5 ∣ = 14 x - 6

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{8}{11} or No Solution

x = \frac{8}{11}

8 ∣ x ∣ + 20 = 19

∣ 4 x - 9 ∣ = 15

∣ 2 x + 12 ∣ = 7 x - 3

∣ 2 d + 5 ∣ = 3 d + 4

∣ 4 x - 9 ∣ = 37