What is the answer to (|-10+a|)/4 =5 ?

The answer to (|-10+a|)/4 =5 is a=-10\lor a=30

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(|-10+a|)/4 =5

\frac{∣ - 10 + a ∣}{4} = 5

a = - 10 or a = 30

Solution steps

\frac{∣ - 10 + a ∣}{4} = 5

Multiply both sides by

4

∣ - 10 + a ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 10 + a = - 20 or - 10 + a = 20

- 10 + a = - 20 or - 10 + a = 20

a = - 10 or a = 30

- 5 ∣ 2 + 3 x ∣ = - 19

∣ x + 6 ∣ + 5 = 3

- 3 ∣ - 4 x - 6 ∣ + 6 = - 24

∣ 14 y + 8 ∣ + 3 = 2

- 5 ∣ x - 7 ∣ = - 30

What is the answer to (|-10+a|)/4 =5 ?
The answer to (|-10+a|)/4 =5 is a=-10\lor a=30
Solve for a: (|-10+a|)/4 =5
The solution is a=-10\lor a=30