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.Com
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(4671) (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:
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
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