What is the answer to |4x-5|=|9-4x| ?

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

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|4x-5|=|9-4x|

∣ 4 x - 5 ∣ = ∣ 9 - 4 x ∣

x = \frac{7}{4}

Solution steps

∣ 4 x - 5 ∣ = ∣ 9 - 4 x ∣

Find positive and negative intervals

x < \frac{5}{4}, \frac{5}{4} \leq x \leq \frac{9}{4}, x > \frac{9}{4}

Solve the inequality for each interval

No Solution or x = \frac{7}{4}

x = \frac{7}{4}

2^{l o g_{2} (n)}

3 p^{2} - 2 p - 5

6 - (- 6)

x^{2} - 3 x + 2

\frac{8}{9} \cdot 3