Question 297474


{{{5(2m-3)=2(m-2)+5}}} Start with the given equation.



{{{10m-15=2m-4+5}}} Distribute.



{{{10m-15=2m+1}}} Combine like terms on the right side.



{{{10m=2m+1+15}}} Add {{{15}}} to both sides.



{{{10m-2m=1+15}}} Subtract {{{2m}}} from both sides.



{{{8m=1+15}}} Combine like terms on the left side.



{{{8m=16}}} Combine like terms on the right side.



{{{m=(16)/(8)}}} Divide both sides by {{{8}}} to isolate {{{m}}}.



{{{m=2}}} Reduce.



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Answer:


So the solution is {{{m=2}}} 



Check:



{{{5(2m-3)=2(m-2)+5}}} Start with the given equation.



{{{5(2(2)-3)=2(2-2)+5}}} Plug in {{{m=2}}}



{{{5(4-3)=2(2-2)+5}}} Multiply



{{{5(1)=2(0)+5}}} Subtract



{{{5=0+5}}} Multiply



{{{5=5}}} Add



Since the equation is true, this verifies that {{{m=2}}} is the answer.