Answer
$x=11$ and $x=3$
Work Step by Step
$|x-7|=4$
By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are:
$x-7=4$ and $x-7=-4$
Solve both equations for $x$:
$x-7=4$
$x=4+7$
$x=11$
$x-7=-4$
$x=-4+7$
$x=3$