SOLUTION: (1-2x/5)is 3 less than three times (x/2-5). Find the value of x.

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Question 204935This question is from textbook Longman Mathematics for IGCSE
: (1-2x/5)is 3 less than three times (x/2-5). Find the value of x. This question is from textbook Longman Mathematics for IGCSE

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
%281-2x%2F5%29+=+3%28x%2F2-5%29-3 Find the value of x: First, simplify both sides.
%285-2x%29%2F5+=+3%28%28x-10%29%2F2%29-3
%285-2x%29%2F5+=+%28%283x-30%29%2F2%29-3
%285-2x%29%2F5+=+%283x-30-6%29%2F2
%285-2x%29%2F5+=+%283x-36%29%2F2 Cross-multiply.
2%285-2x%29+=+5%283x-36%29 Simplify.
10-4x+=+15x-180 Add 4x to both sides.
10+=+19x-180 Add 180 to both sides.
190+=+19x Finally, divide both sides by 19.
10+=+x or highlight%28x+=+10%29