Question

Solve for x. x-2/4 - x+3/3 = -2

Answer 1

The LCD is 12.  Thus, your 

(x-2)/4 - (x+3)/3 = -2 becomes  12((x-2)/4 - (x+3)/3 = -2), or

                                                    3(x-2) - 4(x+3) = -36

Then 3x - 6 - 4x - 12 = -36.  Combining like terms,

 -x = -36 + 18, or -x = -18, or x = 18.  

Check this result by subbing 18 for x in the given equation.

Please note:  You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.