why is it when 9x+x= 10x are we adding the x? Please help me to understand

9x = 9 times x

Suppose that x = 4

9 * 4 = 36
36 + 4 = 40

10 * 4 = 40

You can try that with other values for x -- and it will always come out with
9x + x = 10x

or, just think of x as a unit. If you add 9 balls and 1 ball, you get 10 balls. You can think of x as anything at all. If you add nine of them and one more, you have ten of them.

When dealing with equations, the goal is to find the value of the variable that satisfies the equation. In this case, we have the equation 9x+x=10x, and we want to determine the value of x that makes this equation true.

To understand why we add the x term, let's break down the equation step by step:

9x + x = 10x

The left side of the equation has two terms: 9x and x. We want to combine these terms to simplify the equation. To do this, we add the coefficients of x:

9x + 1x = 10x

Now, we have a single term on the left side, which is 10x. So the updated equation becomes:

10x = 10x

At this point, both sides of the equation are equal. This means that for any value of x, the equation will hold true. In other words, this equation is true for all values of x.

Adding the x term allows us to simplify the equation and show that it holds true regardless of the value of x.