What is the answer to 7|9-x|+5=40 ?

The answer to 7|9-x|+5=40 is x=4\lor x=14

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7|9-x|+5=40

7 ∣ 9 - x ∣ + 5 = 40

x = 4 or x = 14

Solution steps

7 ∣ 9 - x ∣ + 5 = 40

Move

5

to the right side

7 ∣ 9 - x ∣ = 35

Divide both sides by

7

∣ 9 - x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - x = - 5 or 9 - x = 5

9 - x = - 5 or 9 - x = 5

x = 4 or x = 14

8 - 7 ∣ 2 x - 1 ∣ = - 48

∣ s ∣ - 8 = 12

∣ x - 8 ∣ = \frac{x}{3}

4 + ∣ 7 - m ∣ = 5

2 ∣ 5 x + 10 ∣ - 1 = 13