Answer: x=5
Step-by-step explanation:
Start by simplifying the parenthesis
the - in front of (x+3) is -1 so let's write that instead
[tex]8(x - 6) = -1(x + 3)\\\\8x-(6)(8)=-1x+(3)(-1)\\8x-48=-x-3[/tex]
Now lets start isolating x by adding 48 on both sides[tex]8x-48=-x-3\\8x-48+48=-x-3+48\\8x=-x+45[/tex]
Now add x on both sides to fully isolate x
[tex]8x=-x+45\\8x+x=-x+45+x\\9x=45[/tex]
Finally divide by 9 on both sides
[tex]\frac{9x}{9} =\frac{45}{9} \\x=5[/tex]