Hey!
First, let's write the problem,
[tex]3x+2\left(x-9\right)=8x+x+2[/tex]
Add like terms before using the distributive property.
[tex]3x+2\left(x-9\right)=9x+2[/tex]
Apply distributive property.
[tex]3x+2x-18=9x+2[/tex]
Add like terms.
[tex]5x-18=9x+2[/tex]
Add 18 to both sides.
[tex]5x-18+18=9x+2+18[/tex]
[tex]5x=9x+20[/tex]
Subtract 9x from both sides.
[tex]5x-9x=9x+20-9x[/tex]
[tex]-4x=20[/tex]
Divide both sides by -4.
[tex]\frac{-4x}{-4}=\frac{20}{-4}[/tex]
Our final answer would be,
[tex]x=-5[/tex]
Thanks!
-TetraFish
