Question 109590
{{{(3/2)x-3+4/3-2x-(5/8)x-12=1}}} Start with the given equation




{{{(24)((3/2)x-3+4/3-2x-(5/8)x-12)=(24)(1)}}} Multiply both sides by the LCM of 24. 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>)




{{{36x-72+32-48x-15x-288=24}}} Distribute and multiply the LCM to each side




{{{-27x-328=24}}} Combine like terms on the left side



{{{-27x=24+328}}}Add 328 to both sides



{{{-27x=352}}} Combine like terms on the right side



{{{x=(352)/(-27)}}} Divide both sides by -27 to isolate x




{{{x=-352/27}}} Reduce


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

Answer:

So our answer is {{{x=-352/27}}}  (which is approximately {{{x=-13.037037037037}}} in decimal form)