## Algebra 1

$\frac{8d}{7}$
We start with the given equation: $8(x-d)=x$ We apply the distributive property: $8x-8d=x$ We subtract 8x from each side of the equation: $-8d=x-8x$ We combine like terms: $-8d=-7x$ We divide by $-7$ on both sides of the equation: $x=\frac{-8d}{-7}=\frac{8d}{7}$