It's been a while since I've had to do this so I don't remember.
I have the equation 6x + 19 = x. They want me to solve for x. I'm guessing I have to move over 19 to make it the sum, but how do I do that?
You'll subtract x and 19 making it: 5x = -19.
x = -19/5 because you can't reduce it any further unless you want a decimal.
Thanks!
To solve the equation 6x + 19 = x for x, you need to isolate the variable x on one side of the equation. In this case, the first step is to move the term with x (the variable) to one side of the equation and the constant term (19) to the other side.
To move the term with x, you need to subtract x from both sides of the equation. Since x is positive on the left side, subtracting x will cancel it out, leaving only 6x. So the equation becomes:
6x + 19 - x = x - x
Simplifying this expression, you get:
5x + 19 = 0
To move the constant term (19) to the other side, you need to subtract 19 from both sides of the equation. By doing this, the equation becomes:
5x + 19 - 19 = 0 - 19
Simplifying further:
5x + 0 = -19
Simplifying the left side gives:
5x = -19
Finally, to solve for x, you need to divide both sides of the equation by 5:
5x/5 = -19/5
This simplifies to:
x = -19/5
So the solution to the equation 6x + 19 = x is x = -19/5.