Irene R. answered 03/08/20
Senior Mechanical Engineer with 13+ years of Teaching Experience
Let's use the varable x to represent the unkniwn number.
Then " the sum of three times a number and five" would be written as: 3x + 5
The words, "is eight more han the number" would be: = 8 + x
Combining these expressionsgives us:
3x + 5 = x + 8
Now combine like terms and use inverse operations to solve for x:
3x + 5 - x = x + 8 - x
2x + 5 = 8
2x + 5 - 5 = 8 -5
2x = 3
2x/2 = 3/2
x = 1.5
The number is 1.5 (or 1 and 1/2).