48 less than seven times a number is two more than twice the number

Answer 1

Hi Marangelis,

Let's use the variable x to represent the unknown number.

Then we can represent the words, "seven times a number" as: 7x

Next, "48 less than seven times a number" can be represented by: 7x - 48

The words, "is two more than twice the number", can be represented by: = 2 + 2x

Combine these expressions to create the following equation: 7x - 48 = 2 + 2x

Now we can use inverse operations to solve for the unknown number, x :

7x - 48 = 2 + 2x

7x - 48 - 2x = 2 + 2x - 2x

5x - 48 = 2

5x - 48 + 48 = 2 + 48

5x = 50

5x/5 = 50/5

x = 10

The unknown number is 10 .

Hope this helps, Marangelis. Let me know if you have more questions or need any lessons (online if you prefer).

Take care.