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

The answer to 4-5x=|5x-4| is x<= 4/5

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4-5x=|5x-4|

4 - 5 x = ∣ 5 x - 4 ∣

x \leq \frac{4}{5}

Solution steps

4 - 5 x = ∣ 5 x - 4 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x < \frac{4}{5} or x = \frac{4}{5}

Merge Overlapping Intervals

x \leq \frac{4}{5}

11 ∣ x - 8 ∣ - 7 = 48

∣ x ∣ = (x + 1)^{2} - 7

9 ∣ 7 - 3 x ∣ + 2 = 34

∣ x - 7 ∣ + 2 = 2

∣ 4 x + 5 ∣ - 5 = 23