Question 107409

{{{(3/4)(x-2)-(2/5)(2x-3)=1/5}}} Start with the given equation




{{{(20)((3/4)(x-2)-(2/5)(2x-3))=(20)(1/5)}}} Multiply both sides by the LCM of 20. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{15(x-2)-8(2x-3)=4}}} Distribute and multiply the LCM to each side




{{{15x-30-16x+24=4}}} Distribute



{{{-x-6=4}}} Combine like terms on the left side



{{{-x=4+6}}}Add 6 to both sides



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



{{{x=(10)/(-1)}}} Divide both sides by -1 to isolate x




{{{x=-10}}} Divide


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

Answer:

So our answer is {{{x=-10}}}