Question 1018631
the equation is:


13 - (-5m+3) = 3 + 3m-17


first remove parentheses.


- (-5m+3) is equivalent to -1 * (-5m+3) which is equal to (-1 * -5m) + (-1 * 3).


-1 * -5m is equal to 5m.


-1 * 3 is equal to -3.


- (-5m+3) is therefore equivalent to 5m - 3


your equation of 13 - (-5m+3) = 3 + 3m-17 becomes:


13 + 5m - 3 = 3 + 3m - 17


combine like terms to get:


10 + 5m = 3m - 14


subtract 3m from both sides of the equation and subtract 10 from both sides of the equation to get:


5m - 3m = -14 - 10


combine like terms to get:


2m = -24


divide both sides by 2 to get:


m = -12


that should be your solution if we did this correctly.


confirm by replacing m with -12 in the original equation of 13 - (-5m+3) = 3 + 3m-17 to get:


13 - (-5 * -12 + 3) = 3 + 3 * -12 - 17


simplify to get:


13 - (60 + 3) = 3 - 36 - 17


simplify further to get:


13 - 63 = 3 - 36 - 17


combine like terms to get:


-50 = -50


this confirms the solution is good.


the solution is m = -12.