Answer
$x=\frac{5}{2}$
Work Step by Step
$7(x-4)=1-(x+9)$
$7x-28=1-x-9$
$7x-28=-x-8$
$7x+x=-8+28$
$8x=20$
$x=\frac{20}{8}=\frac{5}{2}$
Check the solution:
$7(\frac{5}{2}-4)=1-(\frac{5}{2}+9)$
$7(-\frac{3}{2})=1-\frac{23}{2}$
$-\frac{21}{2}=-\frac{21}{2}$
