What is the answer to |3x-4|=|11-2x| ?

The answer to |3x-4|=|11-2x| is x=-7\lor x=3

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|3x-4|=|11-2x|

∣ 3 x - 4 ∣ = ∣ 11 - 2 x ∣

x = - 7 or x = 3

Solution steps

∣ 3 x - 4 ∣ = ∣ 11 - 2 x ∣

Find positive and negative intervals

x < \frac{4}{3}, \frac{4}{3} \leq x \leq \frac{11}{2}, x > \frac{11}{2}

Solve the inequality for each interval

x = - 7 or x = 3 or No Solution

x = - 7 or x = 3

3 ∣ 3 x - 7 ∣ - 1 = 6 x + 20

∣ 2 x + 3 ∣ = 5 + ∣ 3 x - 8 ∣

∣ 2 x + 3 ∣ = ∣ x - 1 ∣

- ∣ 3 x - 2 ∣ - 2 = 4

∣ x ∣ = 124

What is the answer to |3x-4|=|11-2x| ?
The answer to |3x-4|=|11-2x| is x=-7\lor x=3
Solve for x: |3x-4|=|11-2x|
The solution is x=-7\lor x=3