SOLUTION: Remove parenthesis first. Then collect like terms. Solve for the variable. 2/5(3x+9)=3(3-3x)+15

Algebra ->  Equations -> SOLUTION: Remove parenthesis first. Then collect like terms. Solve for the variable. 2/5(3x+9)=3(3-3x)+15      Log On


   

Question 169637: Remove parenthesis first. Then collect like terms. Solve for the variable.
2/5(3x+9)=3(3-3x)+15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F5%29%283x%2B9%29=3%283-3x%29%2B15 Start with the given equation


2%283x%2B9%29=15%283-3x%29%2B75 Multiply EVERY term outside the parenthesis by the LCD 5 to eliminate the fraction.


6x%2B18=45-45x%2B75 Distribute.


6x%2B18=-45x%2B120 Combine like terms on the right side.


6x=-45x%2B120-18 Subtract 18 from both sides.


6x%2B45x=120-18 Add 45x to both sides.


51x=120-18 Combine like terms on the left side.


51x=102 Combine like terms on the right side.


x=%28102%29%2F%2851%29 Divide both sides by 51 to isolate x.


x=2 Reduce.


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Answer:

So the answer is x=2