What is the answer to 7|x-9|-5=-3|x-9|+25 ?

The answer to 7|x-9|-5=-3|x-9|+25 is x=6\lor x=12

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7|x-9|-5=-3|x-9|+25

7 ∣ x - 9 ∣ - 5 = - 3 ∣ x - 9 ∣ + 25

x = 6 or x = 12

Solution steps

7 ∣ x - 9 ∣ - 5 = - 3 ∣ x - 9 ∣ + 25

Move

5

to the right side

7 ∣ x - 9 ∣ = - 3 ∣ x - 9 ∣ + 30

Move

3 ∣ x - 9 ∣

to the left side

10 ∣ x - 9 ∣ = 30

Divide both sides by

10

∣ x - 9 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 9 = - 3 or x - 9 = 3

x - 9 = - 3 or x - 9 = 3

x = 6 or x = 12

h^{2} = 0.36

x^{2} - 17 x + 66 = 0

8 \leq \frac{x - 3}{4}

3 x^{2} + 7 x + 2

lo g_{2} (32) = 3 x

What is the answer to 7|x-9|-5=-3|x-9|+25 ?
The answer to 7|x-9|-5=-3|x-9|+25 is x=6\lor x=12
Solve for x: 7|x-9|-5=-3|x-9|+25
The solution is x=6\lor x=12