Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. What is the number?

2 Answers

#x=5#

Explanation:

Let #x# be the number then as per given condition

#8\times \text{(difference of x & 2})=3\times (\text{sum of x}\ &\ 3)#

#8(x-2)=3(x+3)#

#8x-16=3x+9#

#8x-3x=9+16#

#5x=25#

#x=25/5#

#=5#

Jul 9, 2018

#n=5#

Explanation:

#8(n-2)=3(n+3)#

Expand.

#8n-16=3n+9#

Subtract #3n# from both sides.

#8n-3n-16=9#

Add #16# to both sides.

#8n-3n=9+16#

Simplify.

#5n=25#

Divide both sides by #5#.

#n=25/5#

Reduce.

#n=5#