I need to find the value of m in the following equation: (2m - 1)/3 = 5 + m/6I am doing a step wrong somewhere and when i reverse to check answer...

Be sure you have checked your parenthesis before continuing to ensure you have written the question correctly.

you could break it into separate fractions :

2/3 m -  1/3 = 5 + 1/6 m

get like terms together by subtracting 1/6 m from both sides

2/3 m - (1/6 m) - 1/3 = 5     ----> 1/6 m - 1/6 m =0

then add 1/3 to both sides

2/3 m - 1/6 m = 5 + 1/3   ---> -1/3 + 1/3 = 0

then find common denominators

4/6 m - 1/6 m = 15/3 + 1/3  --> 2/3 * 2/2 = 4/6  

                                            5/1 * 3/3 = 15/3

simplify

3/6 m = 16/3

multiply both sides by the reciprocal (flip it) of the coefficient (# in front of m)

6/3 * 3/6 m = 16/3 * 6/3

the fractions cancel each other out  on the left and the right yields 32/3

m = 32/3.

Plug it into original equation and check.