What is the answer to 4|x|-11=25-2|x| ?

The answer to 4|x|-11=25-2|x| is x=-6\lor x=6

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4|x|-11=25-2|x|

4 ∣ x ∣ - 11 = 25 - 2 ∣ x ∣

x = - 6 or x = 6

Solution steps

4 ∣ x ∣ - 11 = 25 - 2 ∣ x ∣

Move

11

to the right side

4 ∣ x ∣ = - 2 ∣ x ∣ + 36

Move

2 ∣ x ∣

to the left side

6 ∣ x ∣ = 36

Divide both sides by

6

∣ x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 6 or x = 6

∣ 2 x - 7 ∣ = 4 x - 5

∣ 9 - 4 x ∣ = 7

∣ 4 z + 3 ∣ + 5 = 8

3 ∣ 2 x + 4 ∣ = 18

3 ∣ x - 2 ∣ + 7 = 0

What is the answer to 4|x|-11=25-2|x| ?
The answer to 4|x|-11=25-2|x| is x=-6\lor x=6
Solve for x: 4|x|-11=25-2|x|
The solution is x=-6\lor x=6