SOLUTION: twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number. 2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number. 2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2      Log On

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Question 229672: twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number.
2(x-8)=3x+3
2x-16=3x+3
2x-16-2=3x+3-2
2x+14=3x+1
16/2=4/2
8/2=4
x=4
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
You just forgot the parentheses on the right side! Also, I'm not sure why in the third step you subtracted 2 from each side.

2(x-8)=3(x+3)
2x-16=3x+9
2x-16+16=3x+9+16
2x=3x+25

Subtract 3x from each side:
2x-3x=3x-3x-7
-x=25

Divide both sides by -1:
-x%2F-1=25%2F-1
x=-25
Check:
Twice the difference of the number and 8 is equal to three times the sum of the number and 3.
2*(-25-8)=3(-25+3)
2*-33=3*-22
-66=-66

It checks!!

Dr. Robert J. Rapalje