What number multiplied by seven and then decreased by the same number equals 48?

To solve the equation where seven times a number minus the number equals 48, let’s break it down step-by-step.

Let’s denote the unknown number as x. The equation we can set up from the problem is:

7x – x = 48

Now, we can simplify the left side of the equation:

6x = 48

Next, we need to isolate x. To do this, divide both sides of the equation by 6:

x = 48 / 6

Calculating the right-hand side gives us:

x = 8

Thus, the number we are looking for is 8.

To double-check our work, we can substitute x back into the original context:

Calculating seven times this number:

7 * 8 = 56

Then, subtracting the original number:

56 – 8 = 48

This confirms our solution is correct. The unknown number is indeed 8.

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