What is the answer to 9|5a-5|-10=35 ?

The answer to 9|5a-5|-10=35 is a=0\lor a=2

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9|5a-5|-10=35

9 ∣ 5 a - 5 ∣ - 10 = 35

a = 0 or a = 2

Solution steps

9 ∣ 5 a - 5 ∣ - 10 = 35

Move

10

to the right side

9 ∣ 5 a - 5 ∣ = 45

Divide both sides by

9

∣ 5 a - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 a - 5 = - 5 or 5 a - 5 = 5

5 a - 5 = - 5 or 5 a - 5 = 5

a = 0 or a = 2

∣ 2 x + x ∣ = 9

∣ x - 2 ∣ = - 2

∣ x - 2 ∣ = - 6

\frac{n}{7} = 2

∣ x + 3 ∣ = 11

What is the answer to 9|5a-5|-10=35 ?
The answer to 9|5a-5|-10=35 is a=0\lor a=2
Solve for a: 9|5a-5|-10=35
The solution is a=0\lor a=2