#### Answer

$x=-6$

#### Work Step by Step

$2(x+4)-10=-2(7)$ $\longrightarrow$distributive property; multiplication
$2x+8-10=-14$ $\longrightarrow$combine like terms
$2x-2=-14$ $\longrightarrow$addition property
$2x-2+2=-14+2$ $\longrightarrow$combine like terms
$2x=-12$ $\longrightarrow$multiplication property
$2x\div2=-12\div2$ $\longrightarrow$simplify
$x=-6$