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Question

Three times the sum of a number and four is 10 less than the same number. What is the number? 

Answer 1

Let's interpret the wording:

"3 times the sum of a number and 4" means what? Sum of a number and 4 is (x+4) and that sum is multiplied by 3. So we get the left side of the equation as 3(x+4).

Then we see the word "is" which means =.

Then we see "10 less than the same number" which is x - 10.

Thus, our equation is:

3(x+4) = x-10

Distribute 3 to x+4

3x + 12 = x - 10

Subtract x from both sides.

2x + 12 = -10

Subtract 12 from both sides.

2x = -22

Divide both sides by 2

x = -11

Answer 2

n = the number

The wording of the question translates to

3(n + 4) = n - 10

3n + 12 = n - 10

2n = -22

n = -11

Answer 3

n = the number

The wording of the question translates to

3(n + 4) = n - 10

3n + 12 = n - 10

2n = -22

n = -11