What is the answer to |2x-7|=|3x-9| ?

The answer to |2x-7|=|3x-9| is x=2\lor x= 16/5

Solve for x: |2x-7|=|3x-9|

The solution is x=2\lor x= 16/5

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∣ 2 x - 7 ∣ = ∣ 3 x - 9 ∣

x = 2 or x = \frac{16}{5}

Solution steps

∣ 2 x - 7 ∣ = ∣ 3 x - 9 ∣

Find positive and negative intervals

x < 3, 3 \leq x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

x = 2 or x = \frac{16}{5} or No Solution

x = 2 or x = \frac{16}{5}

7 (x - 1) \geq 3 x + 2

5^{- 2}

\frac{5}{6} x - 2 x + \frac{8}{3} = \frac{5}{3}

x + 2 < - 2

2 x^{2} - 10 x + 12

What is the answer to |2x-7|=|3x-9| ?
The answer to |2x-7|=|3x-9| is x=2\lor x= 16/5
Solve for x: |2x-7|=|3x-9|
The solution is x=2\lor x= 16/5