Question 122605

{{{10x-1/4=9x+3/8}}} Start with the given equation




{{{(8)(10x-1/4)=(8)(9x+3/8)}}} Multiply both sides by the LCM of 8. 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>)




{{{80x-2=72x+3}}} Distribute and multiply the LCM to each side




{{{80x=72x+3+2}}}Add 2 to both sides



{{{80x-72x=3+2}}} Subtract 72x from both sides



{{{8x=3+2}}} Combine like terms on the left side



{{{8x=5}}} Combine like terms on the right side



{{{x=(5)/(8)}}} Divide both sides by 8 to isolate x




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Answer:

So our answer is {{{x=5/8}}}  (which is approximately {{{x=0.625}}} in decimal form)