What is the answer to |-3x+4|=|5x-1| ?

The answer to |-3x+4|=|5x-1| is x=-3/2 \lor x= 5/8

Solve for x: |-3x+4|=|5x-1|

The solution is x=-3/2 \lor x= 5/8

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∣ - 3 x + 4 ∣ = ∣ 5 x - 1 ∣

x = - \frac{3}{2} or x = \frac{5}{8}

Decimal Notation

x = - 1.5, x = 0.625

Solution steps

∣ - 3 x + 4 ∣ = ∣ 5 x - 1 ∣

Find positive and negative intervals

x < \frac{1}{5}, \frac{1}{5} \leq x \leq \frac{4}{3}, x > \frac{4}{3}

Solve the inequality for each interval

x = - \frac{3}{2} or x = \frac{5}{8} or No Solution

x = - \frac{3}{2} or x = \frac{5}{8}

(\frac{27}{2})^{2}

5 x^{3} - 10 x^{2} - x + 2

36 a^{2} - 12 a + 1

x^{2} + 8 x + 12 \leq 0

x^{2} = 6 x - 16

What is the answer to |-3x+4|=|5x-1| ?
The answer to |-3x+4|=|5x-1| is x=-3/2 \lor x= 5/8
Solve for x: |-3x+4|=|5x-1|
The solution is x=-3/2 \lor x= 5/8