SOLUTION: Please help me solve this equation: -1/5(x+10)+1/3(x+3)=x+4 Thank you.

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Question 378299: Please help me solve this equation: -1/5(x+10)+1/3(x+3)=x+4
Thank you.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
expr%28-1%2F5%29%28x%2B10%29%2Bexpr%281%2F3%29%28x%2B3%29%22%22=%22%22x%2B4

Put parentheses around the right side:

expr%28-1%2F5%29%28x%2B10%29%2Bexpr%281%2F3%29%28x%2B3%29%22%22=%22%22%28x%2B4%29

First get rid of fractions.  The LCD is 15, so multiply through the left
side by red%2815%2F1%29%2A%22%22 and the right by red%2815%2A%22%22%29.

%22%22=%22%22red%2815%29%28x%2B4%29

Cancel away the denominators:

3         5
%22%22=%22%22red%2815%29%28x%2B4%29


-3%28x%2B10%29%2B5%28x%2B3%29%22%22=%22%2215%28x%2B4%29

-3x-30%2B5x%2B15%22%22=%22%2215x%2B60

2x-15%22%22=%22%2215x%2B60

-13x%22%22=%22%2275

%28-13x%29%2F%28-13%29%22%22=%22%2275%2F%28-13%29

%28cross%28-13%29x%29%2F%28cross%28-13%29%29%22%22=%22%22-75%2F13

x%22%22=%22%22-75%2F13

Edwin