Twice the sum of a number and 7 is the same as 6 less than three times that number

Answer 1

Twice the sum of a number and 7 is the same as 6 less than three times that number

twice the sum of "a number" (use a variable) and 7 : 2(7 + x)

is the same: =

6 less than 3 times that number (the variable) : 3x - 6

Write it all out:

2(7 + x) = 3x - 6

Now solve for x

Answer 2

Are they asking to find the number? or just set up the equation

Let's set up the equation, we are going to use N to represent the "Number"

(Usually I start with things like the sum of/the difference of... so I would put (N+7) and since they want twice of that, I would put the parentheses surround that and I put a 2 in front of the parentheses.

2 (N +7) (then I go to the the second part and convert that into equation)

2 ( N + 7) = 3N - 6 (that's the equation)

Then use distributive property to solve for what the number is (use N= number)

2N + 14 = 3N - 6

Then Get N by itself , and the numbers on the other side

2N + 14 = 3N - 6

-2N -2N

14 = 1N -6

20 = N

Answer: N = 20 (if they're asking you what is the number equal to)