What is the answer to 7-|10-x|=3 ?

The answer to 7-|10-x|=3 is x=6\lor x=14

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7-|10-x|=3

7 - ∣ 10 - x ∣ = 3

x = 6 or x = 14

Solution steps

7 - ∣ 10 - x ∣ = 3

Move

7

to the right side

- ∣ 10 - x ∣ = - 4

Divide both sides by

- 1

∣ 10 - x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 - x = - 4 or 10 - x = 4

10 - x = - 4 or 10 - x = 4

x = 6 or x = 14

∣ c - 10 ∣ = 3

∣ 2 x + 3 ∣ = x

0 = ∣ 3 x - 7 ∣

11 = \frac{x}{7}

5 ∣ 2 x - 10 ∣ + 2 = 57