Question

Just one more What is 35 = 5 |x+6|-10

Answer 1

35 = 5 | x+6 | - 10
35 + 10 = 5 | x+6 |
45 = 5 | x+6 |
9 = | x+6 |
x + 6 = 9 x + 6 = -9
x = 9 - 6 x = -9 - 6
x = 3 x = -15

Answer 2

35 = 5|x + 6| - 10

First, add '10' to both sides.

`35 + 10 = 5|x + 6|`
Second, add 35 + 10.

`45 = 5|x + 6|`
Third, divide the sides by '5'.

`(45)/(5) = |x + 6|`
Fourth, since 9 × 5 = 45, simplify the fraction to 9.

`9 = |x + 6|`
Fifth, separate the equation into 2.

`9 = x + 6 \\ and \\ 9 = -(x + 6)`
Sixth, solve the first one.
(
`1) 9 - 6 = x \\ 2) 3 = x \\ 3) x = 3`
Seventh, solve the second one.

`1) 9 = -x - 6 \\ 2) 9 + 6 = -x \\ 3) 15 = -x \\ 4) -15=x \\ 5) x = -15`
Eighth, gather both the solutions you just got.

`x = -15,3`

Answer: x = -15, 3