Question 845236
{{{(2b-3)/6=(b-5)/18}}} Start with the given equation.



{{{18(2b-3)=6(b-5)}}} Cross multiply.



{{{36b-54=6b-30}}} Distribute.



{{{36b=6b-30+54}}} Add {{{54}}} to both sides.



{{{36b-6b=-30+54}}} Subtract {{{6b}}} from both sides.



{{{30b=-30+54}}} Combine like terms on the left side.



{{{30b=24}}} Combine like terms on the right side.



{{{b=(24)/(30)}}} Divide both sides by {{{30}}} to isolate {{{b}}}.



{{{b=4/5}}} Reduce.



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Answer:


So the solution is {{{b=4/5}}}