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

The answer to 5|x-2|=3|x-5| is x=-5/2 \lor x= 25/8

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

The solution is x=-5/2 \lor x= 25/8

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5 ∣ x - 2 ∣ = 3 ∣ x - 5 ∣

x = - \frac{5}{2} or x = \frac{25}{8}

Decimal

x = - 2.5, x = 3.125

Solution steps

5 ∣ x - 2 ∣ = 3 ∣ x - 5 ∣

Find positive and negative intervals

x < 2, 2 \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{5}{2} or x = \frac{25}{8} or No Solution

x = - \frac{5}{2} or x = \frac{25}{8}

∣ y - 6 ∣ + 3 = 3 y

∣ 3 x - 2 ∣ = 2 x + 1

∣ 8 - 4 x ∣ - 5 = 11

∣ - 3 x + 4 ∣ = 7

x^{2} - 8 x + 1 = - 2 ∣ 4 - x ∣

What is the answer to 5|x-2|=3|x-5| ?
The answer to 5|x-2|=3|x-5| is x=-5/2 \lor x= 25/8
Solve for x: 5|x-2|=3|x-5|
The solution is x=-5/2 \lor x= 25/8