# Six less than nine times a number x is eight more than twice the number. Set up an equation to model the situation. What is the number? SHOW YOUR WORK.

The equation is

The answer is

Since the first part of the sentence says "six less than nine times a number (x)," that means that six is being subtracted from something. Nine times a number (x) would be 9x, so six less than that would be 9x-6.

Moving on to the second half, it says "eight more than twice the number (x)." Eight more means that the 9x-6 is eight more than twice the number x. Twice a number would be adding it to itself, or multiplying it by 2. Thus, the question is essentially saying that 9x-6 is eight more than 2x. You can write the equation as 9x-6-8=2x, or you can write it as 9x-6=2x+8 because 2x is equal to 8 less than 9x-6.

Solve the equation:

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