<PRE><B>Question 182625</B>


{{{3(2x+1)=9-5(2x-3)}}} Start with the given equation.



{{{6x+3=9-10x+15}}} Distribute.



{{{6x+3=-10x+24}}} Combine like terms on the right side.



{{{6x=-10x+24-3}}} Subtract {{{3}}} from both sides.



{{{6x+10x=24-3}}} Add {{{10x}}} to both sides.



{{{16x=24-3}}} Combine like terms on the left side.



{{{16x=21}}} Combine like terms on the right side.



{{{x=(21)/(16)}}} Divide both sides by {{{16}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=21/16}}} which in decimal form is {{{x=1.3125}}}. 

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