Question 554531
{{{-x+2/5=5-(4/3)x}}} Start with the given equation.



{{{15(-x+2/cross(5))=15(5-(4/cross(3))x)}}} Multiply both sides by the LCD {{{15}}} to clear any fractions.



{{{-15x+6=75-20x}}} Distribute and multiply.



{{{-15x=75-20x-6}}} Subtract {{{6}}} from both sides.



{{{-15x+20x=75-6}}} Add {{{20x}}} to both sides.



{{{5x=75-6}}} Combine like terms on the left side.



{{{5x=69}}} Combine like terms on the right side.



{{{x=(69)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=69/5}}} 



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