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

The answer to |4x-5|=5x-4 is x=1

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|4x-5|=5x-4

∣ 4 x - 5 ∣ = 5 x - 4

x = 1

Solution steps

∣ 4 x - 5 ∣ = 5 x - 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or No Solution

x = 1

2 ∣ x + 5 ∣ = - 4

5 - 7 ∣ 5 - x ∣ = - 44

6 + 7 ∣ 3 p - 3 ∣ = 69

2 + ∣ - 1 + 10 b ∣ = 2

∣ 3 m + 4 ∣ = 8