Translate the following phrase into an algebraic equation five times the sum of a number and 8 equals 10

5*(x+8) = 10

To translate the phrase "five times the sum of a number and 8 equals 10" into an algebraic equation, we can use the variable x to represent the unknown number.

The phrase states that "five times the sum of a number and 8 equals 10."

Step 1: Determine the sum and multiply it by five.
5 * (x + 8)

Step 2: Set the equation equal to 10.
5 * (x + 8) = 10

Therefore, the algebraic equation for the given phrase is 5(x + 8) = 10.