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Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation

User Brooklyns
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2 Answers

6 votes
Difference=subtraction
Sum=addition

8(x-2)=3(x+3)
8x-16=3x+9
8x-3x-16=3x-3x+9
5x-16=9
5x-16+16=9+16
5x=25
x=25÷5
x=5
User Sam Hartsfield
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7.1k points
1 vote
x is the number:
Therefore, the equation is:
8(x-2)=3(x+3)

8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5

Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
User MrBorna
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7.3k points