#### Answer

$x=-8$

#### Work Step by Step

$2x+7=x-1$
subtract x from both sides
$x+7=-1$
subtract 7 from both sides
$x=-8$
Check:
$2x+7=x-1$
substitute (-8) for x
$2\times(-8)+7=(-8)-1$
multiply first
$(-16)+7=(-8)-1)$
now add/subtract
$(-9)=(-9)$
statement is true;hence, the solution is true