Question 678286
{{{4x/5+2/3=2x}}} Start with the given equation.



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



{{{12x+10=30x}}} Distribute and multiply.



{{{12x=30x-10}}} Subtract {{{10}}} from both sides.



{{{12x-30x=-10}}} Subtract {{{30x}}} from both sides.



{{{-18x=-10}}} Combine like terms on the left side.



{{{x=(-10)/(-18)}}} Divide both sides by {{{-18}}} to isolate {{{x}}}.



{{{x=5/9}}} Reduce.



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Answer:


So the solution is {{{x=5/9}}}