What is the answer to 5|u-2|+15=90 ?

The answer to 5|u-2|+15=90 is u=-13\lor u=17

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5|u-2|+15=90

5 ∣ u - 2 ∣ + 15 = 90

u = - 13 or u = 17

Solution steps

5 ∣ u - 2 ∣ + 15 = 90

Move

15

to the right side

5 ∣ u - 2 ∣ = 75

Divide both sides by

5

∣ u - 2 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

u - 2 = - 15 or u - 2 = 15

u - 2 = - 15 or u - 2 = 15

u = - 13 or u = 17

∣ 2 x + 2 ∣ + x - 1 = - 7

- 9 = - 9 ∣ u ∣ - 2

\frac{k}{8} = 1

4 ∣ 2 (x + 3) (x - 3) ∣ + 4 = 76

∣ 4 x - 4 ∣ - 5 = 7

What is the answer to 5|u-2|+15=90 ?
The answer to 5|u-2|+15=90 is u=-13\lor u=17
Solve for u: 5|u-2|+15=90
The solution is u=-13\lor u=17