SOLUTION: One third of a number added to itself equals 3times the difference of the number and 7

Algebra ->  Human-and-algebraic-language -> SOLUTION: One third of a number added to itself equals 3times the difference of the number and 7      Log On


   

Question 911922: One third of a number added to itself equals 3times the difference of the number and 7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let' number be x

One third of a number (%281%2F3%29x) added to itself (x)
%281%2F3%29x%2Bx
equals =

3 times the difference of the number (x) and 7
+3%28x-7%29+
so, put it together:
%281%2F3%29x%2Bx=3%28x-7%29 ....solve for x
%281%2F3%29x%2Bx=3%28x-7%29 ...both side multiply by 3
3%281%2F3%29x%2B3x=3%2A3%28x-7%29
x%2B3x=9%28x-7%29
4x=9x-63
63=9x-4x
63=5x
63%2F5=x
12.6=x