What is the answers and steps to solve 7=|3x+9|+7

Question

asked Feb 15, 2021 47.2k views

1 Answer

Guy Sopher · Answer 1 · 2021-02-20T20:27:45+0000

Answer:

x=-3

Explanation:

Given the equation

7=|3x+9|+7

1. Use Addition property of equality, add -7 to both sides:

$7-7=|3x+9|+7-7\\ \\0=|3x+9|$

2. The absolute value of the number is 0 if and only if the number is 0, so

3x+9=0

3. Use Addition property of equality, add -9 to both sides:

$3x+9-9=0-9\\ \\3x=-9$

4. Use Division property of equality, divide both sides by 3:

$(3x)/(3)=(-9)/(3)\\ \\x=-3$