Answer
solution of the equation:
m=$\frac{23}{3}$
Work Step by Step
original equation:
$(m-2)-5=8-2(m-4)$
Distribute the -2 to each term of $m-4$ :
$(m-2)-5=8-2m+8$
Move terms with the varible "m" to one side and terms with no variable to the other side to simplify (add 2m and 5 to both sides)
$(m-2)+2m=8+8+5$
Combine like terms:
$3m-2 = 16 + 5
\\3m - 2 = 21$
Again, move the terms with the variable to one side and those without the variable to the other side (add 2 to both sides):
$3m= 23$
Divide both sides by 3 to isolate m:
$3m \div3 =23 \div3$
Final solution:
$m = \frac{23}{3}$
