Answer:
[tex]x=\frac{m-9}{3-d}[/tex]
Step-by-step explanation:
We have been given an equation [tex]m=9+3x-dx[/tex]. We are asked to solve the given equation for x.
Subtract 9 from both sides:
[tex]m-9=9-9+3x-dx[/tex]
[tex]m-9=3x-dx[/tex]
Factor out x from right side:
[tex]m-9=x(3-d)[/tex]
Switch sides:
[tex]x(3-d)=m-9[/tex]
Divide both sides by [tex](3-d)[/tex]:
[tex]\frac{x(3-d)}{3-d}=\frac{m-9}{3-d}[/tex]
[tex]x=\frac{m-9}{3-d}[/tex]
Therefore, the value of x is [tex]\frac{m-9}{3-d}[/tex].