SOLUTION: translate the given situation into an equation,then solve it. two thirds of a number is obtained by adding 7 to its triple

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Question 396758: translate the given situation into an equation,then solve it.
two thirds of a number is obtained by adding 7 to its triple

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the nember
Write as we Read***
(2/3)x = 3x+ 7
solving for x
-7 = 7/3x
-3 = x
CHECKING our Answer***
(2/3)*-3 = -6/3 = -2 = 3*-3 + 7

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let a number be x
two thirds of a number is %282%2F3%29x

and obtained by adding 7 to its triple 3x

so, we have

%282%2F3%29x+=+3x+%2B+7.....both sides multiply by 3

3%282%2F3%29x+=+3%2A3x+%2B+3%2A7

cross%283%29%282%2Fcross%283%29%29x+=+9x+%2B+21

2x+=+9x+%2B+21.....add -21to both sides

2x+-+21+=+9x+%2B+21+-+12...add -2xto both sides

2x+-+21+-+2x+=+9x+-2x

cross%282x%29+-+21+-cross%28+2x%29+=+7x+

-+21++=+7x......both sides multiply by 7

-+21%2F7++=+7x%2F7

-+3+=+x

check:
%282%2F3%29x+=+3x+%2B+7
%282%2F3%29%28-3%29+=+3%28-3%29+%2B+7
2%2A%28-3%2F3%29+=+-9+%2B+7
2%2A%28-1%29+=+-9+%2B+7
-2+=+-2