Question 225847
{{{3m+37=8m-3}}}


Step 1.  Subtract 3m from both sides of the equation to get numbers on one side and variables on the right.


{{{3m+37-3m=8m-3-3m}}}


{{{37=5m-3}}}


Step 2.  Add 3 to both sides of the equation to isolate m-terms.


{{{37+3=5m-3+3}}}


{{{40=5m}}}


Step 3.  Divide by 5 to both sides of the equation


{{{40/5=5m/5}}}


{{{8=m}}}


Step 4.  Check solution with original equation {{{3m+37=8m-3}}} to see it leads to true statement.


{{{3*8+37=8*8-3}}}


{{{24+37=64-3}}}


{{{61=61}}} which is a true statement


Step 5.  ANSWER:  Solution is {{{m=8}}}.



I hope the above steps were helpful.


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