Question

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

Answer 1

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'.
$\frac{45}{5} = |x + 6|$
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

Answer 2

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