Question 118995


{{{(1/4)x-7=(1/3)x+8}}} Start with the given equation




{{{(12)((1/4)x-7)=(12)((1/3)x+8)}}} Multiply both sides by the LCM of 12. 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-84=4x+96}}} Distribute and multiply the LCM to each side




{{{3x=4x+96+84}}}Add 84 to both sides



{{{3x-4x=96+84}}} Subtract 4x from both sides



{{{-x=96+84}}} Combine like terms on the left side



{{{-x=180}}} Combine like terms on the right side



{{{x=(180)/(-1)}}} Divide both sides by -1 to isolate x




{{{x=-180}}} Divide


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Answer:

So our answer is {{{x=-180}}}