Answer
$k=\frac{3}{2}$
Work Step by Step
We start with the given equation: $5k+7=3k+10$
We subtract $3k$ from both sides of the equation: $5k-3k+7=3k-3k+10$
We subtract $7$ from both sides of the equation: $5k-3k+7-7=3k-3k+10-7$
We combine like terms on both sides of the equation: $2k=3$
We divide by $2$ on both sides of the equation: $k=\frac{3}{2}$
