Question 156705
{{{(1/2)x-3/5=1/10+3/10}}} Start with the given equation.



{{{(1/2)x-3/5=4/10}}} Combine like terms.



{{{10((1/cross(2))x-3/cross(5))=cross(10)(4/cross(10))}}} Multiply both sides by the LCD {{{10}}} to clear any fractions.



{{{5x-6=4}}} Distribute and multiply.



{{{5x=4+6}}} Add {{{6}}} to both sides.



{{{5x=10}}} Combine like terms on the right side.



{{{x=(10)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=2}}}