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

The answer to |4x-5|=5x-2 is x= 7/9

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|4x-5|=5x-2

∣ 4 x - 5 ∣ = 5 x - 2

x = \frac{7}{9}

Decimal

x = 0.77777 \dots

Solution steps

∣ 4 x - 5 ∣ = 5 x - 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{7}{9} or No Solution

x = \frac{7}{9}

x, f = l ∣ x ∣ l

∣ - 7 x \cdot 28 ∣ = x

∣ 2 - 4 t ∣ + 4 = 18

3 ∣ - 1 - 7 x ∣ + 9 = 96

∣ 7 x - 7 ∣ = 7