Answer
$x=4$
Work Step by Step
We are given that $x(x+1)+16=x(x+5)$. We can use the distributive property to simplify both sides.
$x\times(x+1)+16=x\times(x+5)$
$x^{2}+x+16=x^{2}+5x$
Subtract $x^{2}$ from both sides.
$x+16=5x$
Subtract x from both sides.
$16=4x$
Divide both sides by 4.
$x=4$
