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

The answer to |x-5|=|3-2x|+2 is x=0\lor x=2

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|x-5|=|3-2x|+2

∣ x - 5 ∣ = ∣ 3 - 2 x ∣ + 2

x = 0 or x = 2

Solution steps

∣ x - 5 ∣ = ∣ 3 - 2 x ∣ + 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or x = 2 or No Solution

x = 0 or x = 2

- ∣ x - 5 ∣ = - 2

2 ∣ 3 x - 1 ∣ + 8 = 4

5 ∣ x + 6 ∣ - 8.3 = 1.7

3 ∣ x + 5 ∣ - 1 = 11

∣ 6 x + 4 ∣ = 8 x + 10

What is the answer to |x-5|=|3-2x|+2 ?
The answer to |x-5|=|3-2x|+2 is x=0\lor x=2
Solve for x: |x-5|=|3-2x|+2
The solution is x=0\lor x=2