What is the answer to |10-3x|=|5-2x| ?

The answer to |10-3x|=|5-2x| is x=3\lor x=5

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|10-3x|=|5-2x|

∣ 10 - 3 x ∣ = ∣ 5 - 2 x ∣

x = 3 or x = 5

Solution steps

∣ 10 - 3 x ∣ = ∣ 5 - 2 x ∣

Find positive and negative intervals

x \leq \frac{5}{2}, \frac{5}{2} < x \leq \frac{10}{3}, x > \frac{10}{3}

Solve the inequality for each interval

No Solution or x = 3 or x = 5

x = 3 or x = 5

∣ x ∣ + 2 ∣ x + 1 ∣ - 3 ∣ x - 2 ∣ = 4

∣ 9 + x ∣ = 2

∣ x - 1 ∣ x^{2} - 2 = 2

∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

\frac{+ k}{- 2} = + 1

What is the answer to |10-3x|=|5-2x| ?
The answer to |10-3x|=|5-2x| is x=3\lor x=5
Solve for x: |10-3x|=|5-2x|
The solution is x=3\lor x=5