What is the answer to 3|x-9|=|-4x+8| ?

The answer to 3|x-9|=|-4x+8| is x=-19\lor x=5

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3|x-9|=|-4x+8|

3 ∣ x - 9 ∣ = ∣ - 4 x + 8 ∣

x = - 19 or x = 5

Solution steps

3 ∣ x - 9 ∣ = ∣ - 4 x + 8 ∣

Find positive and negative intervals

x \leq 2, 2 < x < 9, x \geq 9

Solve the inequality for each interval

x = - 19 or x = 5 or No Solution

x = - 19 or x = 5

22 = ∣ 4 x + 10 ∣

∣ x - 1 ∣ = 19

\frac{∣ x - 5 ∣}{8} = 5

∣ 5 - x ∣ = 10

∣ - 8 n + 1 ∣ = 0

What is the answer to 3|x-9|=|-4x+8| ?
The answer to 3|x-9|=|-4x+8| is x=-19\lor x=5
Solve for x: 3|x-9|=|-4x+8|
The solution is x=-19\lor x=5