Multiply a number by 6 and subtracting 6 gives the same result as multiplying the number by 3 and su

Multiply a number by 6 and subtracting 6 gives the same result as multiplying the number by 3 and subtracting 4. Find the number

The phrase a number means an arbitrary variable, let's call it x.

multiply a number by 6 and subtract 6:
6x - 6

Multiply a number by 3 and subtract 4:
3x - 4

The phrase gives the same result means an equation. So we set 6x - 6 equal to 3x - 4
6x - 6 = 3x - 4

To solve this equation for x, we type it in our search engine and we get:
x = 2/3