What is Ten times the sum of half of a number x and 5 is 7?

To solve the equation, we first express it mathematically: ( 10 \left( \frac{x}{2} + 5 \right) = 7 ). Simplifying this gives ( \frac{x}{2} + 5 = \frac{7}{10} ). Subtracting 5 from both sides results in ( \frac{x}{2} = \frac{7}{10} - 5 ), which simplifies to ( \frac{x}{2} = \frac{7}{10} - \frac{50}{10} = -\frac{43}{10} ). Multiplying by 2, we find ( x = -\frac{86}{10} = -8.6 ).