What is the answer to 2|4-x|+3|4-x|=25 ?

The answer to 2|4-x|+3|4-x|=25 is x=-1\lor x=9

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2|4-x|+3|4-x|=25

2 ∣ 4 - x ∣ + 3 ∣ 4 - x ∣ = 25

x = - 1 or x = 9

Solution steps

2 ∣ 4 - x ∣ + 3 ∣ 4 - x ∣ = 25

Add similar elements:

2 ∣ 4 - x ∣ + 3 ∣ 4 - x ∣ = 5 ∣ 4 - x ∣

5 ∣ 4 - x ∣ = 25

Divide both sides by

5

∣ 4 - x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - x = - 5 or 4 - x = 5

4 - x = - 5 or 4 - x = 5

x = - 1 or x = 9

4 ∣ 5 - t ∣ = 20

- ∣ x + 4 ∣ + 2 = - 2 x + 7

∣ 2 x - 1 ∣ = ∣ x + 4 ∣

∣ 3 a + 1 ∣ - 2 = 4

∣ v - 4 ∣ + 9 = 28

What is the answer to 2|4-x|+3|4-x|=25 ?
The answer to 2|4-x|+3|4-x|=25 is x=-1\lor x=9
Solve for x: 2|4-x|+3|4-x|=25
The solution is x=-1\lor x=9