8 less than twice a number is the same as 6 times the number

Answer 1

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

The "8 less than twice the number" can be represented by: 2x - 8

Also, "6 times the number" can be written as" : 6x

The word, "is", can be represented with an equal sign: =

Combining these expressions gives us:

2x - 8 = 6x

Then use inverse operations to solve for x:

2x - 8 = 6x

2x - 8 - 2x = 6x - 2x

-8 = 4x

-8/4 = 4x/4

-2 = x

The unknown number is -2

TO CHECK:

Then "8 less than twice the number" is 2 * (-2) - 8 = -4 - 8 = -12

" 6 times the number" is 6 * (-2) = -12