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1 vote
Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)

x=

2 Answers

1 vote
The answer is 102.
9(x -6) = 8(x+6)
9x - 54= 8x +48
x- 54= 48
x= 102
User Luca Poddigue
by
6.7k points
3 votes
Hello!

9(x - 6) = 8(x + 6)

The first step to take here is to apply the Distributive Property, which is
a(b + c) = ab + ac.

9(x - 6) = 8(x + 6)
9x - 54 = 8x + 48

After this, you want to begin to eliminate terms to ultimately isolate x; you can subtract 8x from both sides first:

9x - 54 = 8x + 48
x - 54 = 48

Finally, add 54 to both sides to get x by itself:

x - 54 = 48
x = 102

Answer:
x = 102
User Lalli
by
7.0k points
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