What is the answer to |5x-7|=|3x-5| ?

The answer to |5x-7|=|3x-5| is x=1\lor x= 3/2

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|5x-7|=|3x-5|

∣ 5 x - 7 ∣ = ∣ 3 x - 5 ∣

x = 1 or x = \frac{3}{2}

Solution steps

∣ 5 x - 7 ∣ = ∣ 3 x - 5 ∣

Find positive and negative intervals

x < \frac{7}{5}, \frac{7}{5} \leq x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

x = 1 or x = \frac{3}{2} or No Solution

x = 1 or x = \frac{3}{2}

\frac{7 x}{2} + \frac{1}{2} = - \frac{2}{3} - x

\frac{2 x + 2 y}{x ^{2} - 2 x y + y ^{2}} \cdot \frac{x ^{2} - x y}{7 y + 7 x}

x^{2} - 3 < 0

\frac{1}{4} + 2 x = - \frac{1}{2} - x

lo g_{4} (64) = y

What is the answer to |5x-7|=|3x-5| ?
The answer to |5x-7|=|3x-5| is x=1\lor x= 3/2
Solve for x: |5x-7|=|3x-5|
The solution is x=1\lor x= 3/2