What is the answer to |-2x+3|=|5x-1| ?

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

Solve for x: |-2x+3|=|5x-1|

The solution is x=-2/3 \lor x= 4/7

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∣ - 2 x + 3 ∣ = ∣ 5 x - 1 ∣

x = - \frac{2}{3} or x = \frac{4}{7}

Decimal

x = - 0.66666 \dots, x = 0.57142 \dots

Solution steps

∣ - 2 x + 3 ∣ = ∣ 5 x - 1 ∣

Find positive and negative intervals

x < \frac{1}{5}, \frac{1}{5} \leq x \leq \frac{3}{2}, x > \frac{3}{2}

Solve the inequality for each interval

x = - \frac{2}{3} or x = \frac{4}{7} or No Solution

x = - \frac{2}{3} or x = \frac{4}{7}

∣ x ∣ + 2 = 11

∣ x + 4 ∣ = ∣ x - 8 ∣

∣ x + 1 ∣ + 2 ∣ x + 2 ∣ = x + 3

y, x = ∣ y ∣ + 3

7 - 4 ∣ 2 - x ∣ = - 1

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