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

The answer to |4x-5|=2x+5 is x=0\lor x=5

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|4x-5|=2x+5

∣ 4 x - 5 ∣ = 2 x + 5

x = 0 or x = 5

Solution steps

∣ 4 x - 5 ∣ = 2 x + 5

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or x = 5

∣ 3 x - 5 ∣ = 8

40 - 4 x = 2 ∣ 3 x - 10 ∣

∣ 2 r + 5 ∣ = 4

∣ 8 x - 8 ∣ + 10 = - 14

∣ 2 x - 1 ∣ + 3 = 8