Question

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

Answer 1

`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`