Question 202989

{{{3-x/3=2x/5}}} Start with the given equation.



{{{15(3)-cross(15)^5(x/cross(3))=15(2x/cross(5))}}} Multiply EVERY term by the LCD {{{15}}} to clear any fractions.



{{{45-5x=6x}}} Multiply and simplify.



{{{-5x=6x-45}}} Subtract {{{45}}} from both sides.



{{{-5x-6x=-45}}} Subtract {{{6x}}} from both sides.



{{{-11x=-45}}} Combine like terms on the left side.



{{{x=(-45)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{x}}}.



{{{x=45/11}}} Reduce.



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Answer:


So the solution is {{{x=45/11}}} which approximates to {{{x=4.091}}}.