What is half of the number is 7 more than 12 times the number?

The number is -14/23 or -0.6087.

Let x = the number

Equation: 1/2 * x = 12 * x + 7

multiplying the equation by 2

2(1/2x) = (12x + 7)2

x = 24x + 14

x - 24x = 14

-23x = 14

x = -14/23 or -0.6087

check:

1/2 * x = 12 * x + 7

1/2 (-14/23) = 12 (-14/23) + 7

-14/46 = -168/23 + 161/23

-7/23 = -7/23