What is the answer to 4-3|4-x|=2|4-x|-1 ?

The answer to 4-3|4-x|=2|4-x|-1 is x=3\lor x=5

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4-3|4-x|=2|4-x|-1

4 - 3 ∣ 4 - x ∣ = 2 ∣ 4 - x ∣ - 1

x = 3 or x = 5

Solution steps

4 - 3 ∣ 4 - x ∣ = 2 ∣ 4 - x ∣ - 1

Move

4

to the right side

- 3 ∣ 4 - x ∣ = 2 ∣ 4 - x ∣ - 5

Move

2 ∣ 4 - x ∣

to the left side

- 5 ∣ 4 - x ∣ = - 5

Divide both sides by

- 5

∣ 4 - x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - x = - 1 or 4 - x = 1

4 - x = - 1 or 4 - x = 1

x = 3 or x = 5

- 6 y - 3 = 3 - 6 y

25 m^{2} - 60 m + 36

(7 + 5) (7 - 5)

6 \cdot \frac{1}{16 - 0}

v^{2} = 49

What is the answer to 4-3|4-x|=2|4-x|-1 ?
The answer to 4-3|4-x|=2|4-x|-1 is x=3\lor x=5
Solve for x: 4-3|4-x|=2|4-x|-1
The solution is x=3\lor x=5