Question 169637
{{{(2/5)(3x+9)=3(3-3x)+15}}} Start with the given equation



{{{2(3x+9)=15(3-3x)+75}}} Multiply EVERY term outside the parenthesis by the LCD 5 to eliminate the fraction.



{{{6x+18=45-45x+75}}} Distribute.



{{{6x+18=-45x+120}}} Combine like terms on the right side.



{{{6x=-45x+120-18}}} Subtract {{{18}}} from both sides.



{{{6x+45x=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=(102)/(51)}}} Divide both sides by {{{51}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the answer is {{{x=2}}}