if you simplify the expression 3x+4(x-2)-3x into the expression 3x+ 4x -8-3x, what property did you use

distributive property

To simplify the expression 3x + 4(x - 2) - 3x to 3x + 4x - 8 - 3x, the property that was used is the distributive property.

The distributive property states that for any numbers a, b, and c, the expression a(b + c) can be simplified as ab + ac. In this case, the expression 4(x - 2) means that the factor 4 is being distributed to both the x and -2 terms.

To apply the distributive property in this expression, you multiply 4 by both x and -2:

4(x - 2) = 4 * x - 4 * 2 = 4x - 8

After applying the distributive property, the expression becomes 3x + 4x - 8 - 3x.