Question 140986
Does the equation look like this: {{{2x+5/3=5x+6}}}  ???



{{{2x+5/3=5x+6}}} Start with the given equation




{{{(3)(2x+5/cross(3))=(3)(5x+6)}}} Multiply both sides by the LCM of 3. 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>)




{{{6x+5=15x+18}}} Distribute and multiply the LCM to each side




{{{6x=15x+18-5}}}Subtract 5 from both sides



{{{6x-15x=18-5}}} Subtract 15x from both sides



{{{-9x=18-5}}} Combine like terms on the left side



{{{-9x=13}}} Combine like terms on the right side



{{{x=(13)/(-9)}}} Divide both sides by -9 to isolate x




{{{x=-13/9}}} Reduce


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Answer:

So our answer is {{{x=-13/9}}}  (which is approximately {{{x=-1.444}}} in decimal form)