What is the answer to |4x-5|+5x+2=0 ?

The answer to |4x-5|+5x+2=0 is x=-7

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|4x-5|+5x+2=0

∣ 4 x - 5 ∣ + 5 x + 2 = 0

x = - 7

Solution steps

∣ 4 x - 5 ∣ + 5 x + 2 = 0

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 7 or No Solution

x = - 7

3 = ∣ 15 + 3 b ∣

∣ 2 t - 3 ∣ = 3 t - 2

9 + 2 ∣ 4 x - 5 ∣ = 13

13 = ∣ - 2 x + 5 ∣

9 - 2 ∣ 2 x + 1 ∣ = 5