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bonufazy [111]
3 years ago
9

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

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

x=-3

Step-by-step 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:

\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3

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