#### Answer

$x=-5$

#### Work Step by Step

$7(2+x)=4x-1$ $\longrightarrow$distributive property
$14+7x=4x-1$ $\longrightarrow$addition property
$14+7x-4x-14=4x-1-4x-14$ $\longrightarrow$combine like terms
$3x=-15$ $\longrightarrow$multiplication property
$3x\div3=-15\div3$ $\longrightarrow$simplify
$x=-5$