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half the sum of a number and 10 is 8. find the number. (1 point) 3 6 2 …

Question

half the sum of a number and 10 is 8. find the number. (1 point)
3
6
2
-2

Explanation:

Step1: Set up the equation

Let the number be $x$. The sum of the number and 10 is $x + 10$. Half of this sum is $\frac{x + 10}{2}$, and it is equal to 8. So the equation is $\frac{x+10}{2}=8$.

Step2: Solve the equation for $x$

Multiply both sides of the equation by 2: $x + 10=16$.
Then subtract 10 from both sides: $x=16 - 10$.
$x = 6$

Answer:

6