Question 115590


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




{{{(5)(3/5x-1(2-1x))=(5)(-10)}}} Multiply both sides by the LCM of 5. 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>)




{{{3x-5(2-1x)=-50}}} Distribute and multiply the LCM to each side




{{{3x-10+5x=-50}}} Distribute



{{{8x-10=-50}}} Combine like terms on the left side



{{{8x=-50+10}}}Add 10 to both sides



{{{8x=-40}}} Combine like terms on the right side



{{{x=(-40)/(8)}}} Divide both sides by 8 to isolate x




{{{x=-5}}} Divide


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Answer:

So our answer is {{{x=-5}}}