What is the answer to 7|x-4|-21=-14 ?

The answer to 7|x-4|-21=-14 is x=3\lor x=5

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7|x-4|-21=-14

7 ∣ x - 4 ∣ - 21 = - 14

x = 3 or x = 5

Solution steps

7 ∣ x - 4 ∣ - 21 = - 14

Move

21

to the right side

7 ∣ x - 4 ∣ = 7

Divide both sides by

7

∣ x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 3 or x = 5

∣ x - 3 ∣ = 6 x + 7

1 + \frac{x}{7} = 2

x^{2} + 9 x + 14 = 0

∣ 2 x - 6 ∣ + 9 = 5

- 9 + ∣ 5 x + 10 ∣ = - 9

What is the answer to 7|x-4|-21=-14 ?
The answer to 7|x-4|-21=-14 is x=3\lor x=5
Solve for x: 7|x-4|-21=-14
The solution is x=3\lor x=5