Question

Consider the following statement.

Twenty four is less than 10 times the number equals 64 more than 8 times a number.

a. Write an equation to represent the statement. Use n for the unknown number.


b. Solve the equation.

c. Explain how you solve the equation.

Answer 1

the equation would be written:
24-10x=64+8x

to solve the equation, you combine like terms by moving the numbers to the other side
8x would move to the left side, leaving you with -8x-10x
24 would be moved to the right side, leaving you with 64-24
combine them and you get -18x=40
finally, you divide, making
$- \frac{18}{40}$
the last step is to put it at its simplest form. so your final answer would be:
$- \frac{9}{20}$