Answer
x=5
Work Step by Step
Start with the given equation.
$2(x+4)=x+13$
Apply the distributive property.
$2x+8=x+13$
Subtract x from each side and simplify.
$2x+8-x=x+13-x$
$x+8=13$
Subtract 8 from each side and simplify.
$x+8-8=13-8$
$x=5$