SOLUTION: Find a number so that if 5 is subtracted from this number and the resulting difference is multiplied by 3 the same answer is obtained by adding 3 to twice this number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find a number so that if 5 is subtracted from this number and the resulting difference is multiplied by 3 the same answer is obtained by adding 3 to twice this number.      Log On


   



Question 1152297: Find a number so that if 5 is subtracted from this number and the resulting difference is multiplied by 3 the same answer is obtained by adding 3 to twice this number.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the unknown number
+3%2A%28+x+-+5+%29+=+2x+%2B+3+
+3x+-+15+=+2x+%2B+3+
Subtract +2x+ from both sides
+x+-+15+=+3+
Add +15+ to both sides
+x+=+18+
--------------------
check:
+x+-+5+=+18+-+5+
+x+-+5+=+13+
+13%2A3+=+39+
--------------------
+2%2A18+=+36+
+36+%2B+3+=+39+
OK