How do you write as a mathematical expression and solve: The sum of a number and 8 times the number is 45?

1 Answer

x+8x=45, x=6x+8x=45,x=6

Explanation:

Like this:

"The sum of a number (which I'll call xx)":

x+x+

"and eight times a number":

x+8xx+8x

"is 45":

x+8x=45x+8x=45

and now we solve, first by adding the x-terms together:

9x=459x=45

then divide both sides by 9:

(9x)/9=45/99x9=459

(cancel9x)/cancel9=45/9=(6xx9)/9=(6xxcancel9)/cancel9=6