<PRE><B>Question 211580</B>

{{{(2/5)x+1=1/3+x}}} Start with the given equation.



{{{15((2/cross(5))x+1)=15(1/cross(3)+x)}}} Multiply both sides by the LCD {{{15}}} to clear any fractions.



{{{6x+15=5+15x}}} Distribute and multiply.



{{{6x=5+15x-15}}} Subtract {{{15}}} from both sides.



{{{6x-15x=5-15}}} Subtract {{{15x}}} from both sides.



{{{-9x=5-15}}} Combine like terms on the left side.



{{{-9x=-10}}} Combine like terms on the right side.



{{{x=(-10)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=10/9}}} Reduce.



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Answer:


So the solution is {{{x=10/9}}} which approximates to {{{x=1.111}}}. 
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