What is the answer to (|a+5|)/2-5=2 ?

The answer to (|a+5|)/2-5=2 is a=-19\lor a=9

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(|a+5|)/2-5=2

\frac{∣ a + 5 ∣}{2} - 5 = 2

a = - 19 or a = 9

Solution steps

\frac{∣ a + 5 ∣}{2} - 5 = 2

Move

5

to the right side

\frac{∣ a + 5 ∣}{2} = 7

Multiply both sides by

2

∣ a + 5 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a + 5 = - 14 or a + 5 = 14

a + 5 = - 14 or a + 5 = 14

a = - 19 or a = 9

∣ 5 - x ∣ = 1

∣ 5 - x ∣ = 3

∣ x - 4 ∣ = 6 x + 16

3 - 8 ∣ 10 - 2 x ∣ = - 29

∣ x ∣ + 3 = 14

What is the answer to (|a+5|)/2-5=2 ?
The answer to (|a+5|)/2-5=2 is a=-19\lor a=9
Solve for a: (|a+5|)/2-5=2
The solution is a=-19\lor a=9