35 = 5|x + 6| - 10
First, add '10' to both sides.
[tex]35 + 10 = 5|x + 6|[/tex]
Second, add 35 + 10.
[tex]45 = 5|x + 6|[/tex]
Third, divide the sides by '5'.
[tex] \frac{45}{5} = |x + 6|[/tex]
Fourth, since 9 × 5 = 45, simplify the fraction to 9.
[tex]9 = |x + 6|[/tex]
Fifth, separate the equation into 2.
[tex]9 = x + 6 \\ and \\ 9 = -(x + 6)[/tex]
Sixth, solve the first one.
( [tex]1) 9 - 6 = x \\ 2) 3 = x \\ 3) x = 3[/tex]
Seventh, solve the second one.
[tex]1) 9 = -x - 6 \\ 2) 9 + 6 = -x \\ 3) 15 = -x \\ 4) -15=x \\ 5) x = -15[/tex]
Eighth, gather both the solutions you just got.
[tex]x = -15,3[/tex]
Answer: x = -15, 3
