SOLUTION: Three times a number is the same as four less than the number, find the number

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Question 495794: Three times a number is the same as four less than the number, find the number
Found 2 solutions by kingme18, lmeeks54:
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call "the number" x.

Three times a number is the same as four less than the number.
To take this apart:
Three times a number (3x)
is the same as (=)
four less than the number x-4. This is the tricky part. A lot of people want to do 4-x because they see 4 first in the problem. The key is the word "than". It tells you to switch the order. 4 less THAN x means x-4.

So we have 3x=x-4. To solve:
Subtract x on both sides: 2x=-4
Divide by 2 on both sides: x=-2
Our number should be -2.

Let's check:
Three times a number is the same as four less than the number
3%2A-2=-6 and -2-4=-6. I get -6 from both, and -6 is the same as -6, so it checks. Our number is, indeed, -2.

Answer by lmeeks54(111) About Me  (Show Source):
You can put this solution on YOUR website!
This is pretty straightforward. Create the equality from the words:
...
3X = X - 4
...
Solve for X by grouping all the "X" terms on one side. Do that by subtracting X from both sides:
...
2X = -4
...
Divide by sides by 2 so we end with just the X term by itself:
X = -2
...
check your work:
3(-2) = -2 -4
...
-6 = -6