Question 200107
{{{(2/3)x-2/5=-3/2}}} Start with the given equation.



{{{cross(30)^10((2/cross(3))x)-cross(30)^6(2/cross(5))=cross(30)^15(-3/cross(2))}}} Multiply both sides by the LCD {{{30}}} to clear any fractions.



{{{20x-12=-45}}} Multiply and simplify



{{{20x=-45+12}}} Add {{{12}}} to both sides.



{{{20x=-33}}} Combine like terms on the right side.



{{{x=(-33)/(20)}}} Divide both sides by {{{20}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-33/20}}} which in decimal form is {{{x=-1.65}}}. 



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