Answer
$x=1$
Work Step by Step
We are given the equation $x(x-6)+7=x(x+1)$. We can solve for x by first using the distributive property to simplify both sides.
$x\times(x-6)+7=x\times(x+1)$
$x^{2}-6x+7=x^{2}+x$
Subtract $x^{2}$ from both sides.
$-6x+7=x$
Add 6x to both sides.
$7=7x$
Divide both sides by 7.
$x=1$
