What is the answer to |2x-3|=|5x+4| ?

The answer to |2x-3|=|5x+4| is x=-7/3 \lor x=-1/7

Solve for x: |2x-3|=|5x+4|

The solution is x=-7/3 \lor x=-1/7

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∣ 2 x - 3 ∣ = ∣ 5 x + 4 ∣

x = - \frac{7}{3} or x = - \frac{1}{7}

Solution steps

∣ 2 x - 3 ∣ = ∣ 5 x + 4 ∣

Find positive and negative intervals

x < - \frac{4}{5}, - \frac{4}{5} \leq x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - \frac{7}{3} or x = - \frac{1}{7} or No Solution

x = - \frac{7}{3} or x = - \frac{1}{7}

\frac{2 x - 1}{x - 3} > 1

x^{2} + 3 x = 5

∣ 5 x + 4 ∣ \leq 7

\frac{155 π}{180}

6 x - 2 > 5 x + 6

What is the answer to |2x-3|=|5x+4| ?
The answer to |2x-3|=|5x+4| is x=-7/3 \lor x=-1/7
Solve for x: |2x-3|=|5x+4|
The solution is x=-7/3 \lor x=-1/7