SOLUTION: when a number is added to 4, the result is equal to subtracting 10 from three times of it. what is the number?

Question 845338: when a number is added to 4, the result is equal to subtracting 10 from three times of it. what is the number?
Answer by pmesler(52) (Show Source): You can put this solution on YOUR website!
For these types of problems you need to translate the sentence into a mathematical statement.
First, let x = the number.
The question asks when a number, x, is added to 4 the result is equal...we'll stop there for now.
Right away we can write when a number is added to 4 as
x+4. The result is equal to subtracting 10 from three times that number or 3x-10. In other words,
x+4 = 3x-10.
Now, we simply solve for x.

Let's simplify by subtracting x from both sides.

4 = 2x-10

Now add 10 to both sides to isolate the x term

14 = 2x
Divide each side by 2

x = 7.
Now let's check to see if that's correct. We do this by substituting 7 into the original equation wherever x occurs.
7+4 = 3(7)-10
11 = 11.
It checks out. Therefore x = 7 is the correct answer.

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