Answer
$\{-10\}$
Work Step by Step
Cross multiply.
$-2(x+1)=-3(x+4)$
Use distributive property.
$-2x-2=-3x-12$
Add $3x+2$ to both sides.
$-2x-2+3x+2=-3x-12+3x+2$
Simplify.
$x=-10$
Hence, the solution to the equation is $\{-10\}$.