Question 227688
You are correct. The LCD is 2.





{{{d+7=(3/2)d+5}}} Start with the given equation.



{{{2(d)+2(7)=cross(2)((3/cross(2))d)+2(5)}}} Multiply EVERY term by the LCD {{{2}}} to clear any fractions.



{{{2d+14=3d+10}}} Multiply and simplify.



{{{2d=3d+10-14}}} Subtract {{{14}}} from both sides.



{{{2d-3d=10-14}}} Subtract {{{3d}}} from both sides.



{{{-d=10-14}}} Combine like terms on the left side.



{{{-d=-4}}} Combine like terms on the right side.



{{{d=(-4)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{d}}}.



{{{d=4}}} Reduce.



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Answer:


So the solution is {{{d=4}}}