Answer:
The required equation is
.
Step-by-step explanation:
Let x be the unknown number.
We have to find the equation for the statement “six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”.
Twice the sum of a number and four = 2(x+4)
Six added to twice the sum of a number and four is equal = 6+2(x+4)
Difference of three and the number = (3-x)
One-half of the difference of three and the number =
.
Since six added to twice the sum of a number and four is equal to one-half of the difference of three and the number, therefore

Hence, the required equation is
.