SOLUTION: Solve the following equation involving fractions and variables -4/9(2X-4)=48 Please explian how to multiply a fraction when variables are present -4/9 (2X) -4/9 (-4) = 48 He

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Solve the following equation involving fractions and variables -4/9(2X-4)=48 Please explian how to multiply a fraction when variables are present -4/9 (2X) -4/9 (-4) = 48 He      Log On

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Question 233941: Solve the following equation involving fractions and variables
-4/9(2X-4)=48
Please explian how to multiply a fraction when variables are present
-4/9 (2X) -4/9 (-4) = 48
Help me please!
Answer by ankor@dixie-net.com(12684) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%28-4%2F9%29%282X-4%29=48
Get rid of the denominator, multiply both sides by 9, results:
-4(2x - 4) = 9(48)
Multiply what's inside the brackets by -4, results:
-8x + 16 = 432
:
-8x = 432 - 16
:
-8x = 416
x has to be positive, multiply both sides by -1
8x = -416
Divide both sides by 8
x = %28-416%29%2F8
x = -52
;
:
Check solution in original equation, replace x with -52
%28-4%2F9%29%282%28-52%29-4%29=48
%28-4%2F9%29%28-104-4%29=48
%28-4%2F9%29%28-108%29=48
Cancel 9 into 108
-4(-12) = 48
+48 = 48; confirms our solution
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