Answer:
x = -8
Step-by-step explanation:
First, we want to take care of the multiplication on the second half, so we can more easily manipulate the sides:
[tex]4x-5(x+6) = 4x - (5x + 30) = -x - 30[/tex]
With that out of the way, we can start isolating the sides:
[tex]3x+2 = -x - 30[/tex]
[tex]3x+2(+x) = -x - 30(+x) = 4x+2 = -30[/tex]
[tex]4x+2(-2)=-30(-2) = 4x = -32[/tex]
Now that we have x isolated, we can divide both sides by 4 to get our answer:
[tex]4x(/4) = -32(/4) = x=8[/tex]
[tex]x=-8[/tex]
