Answer:
-5x + 3
Explanation:
To simplify the expression (-4x+6)-(x+3), we need to distribute the negative sign to both terms inside the parentheses. This means that we will multiply each term by -1.
First, let's distribute the negative sign to (-x-3): (-1)(x) + (-1)(3) = -x - 3
Now the expression becomes: -4x + 6 - x - 3 Next, we can combine like terms. Like terms are terms that have the same variable and exponent. In this case, we have -4x and -x, which are like terms because they both have the variable x raised to the power of 1. -4x - x can be simplified to -5x.
The expression now becomes: -5x + 6 - 3 Simplifying further, 6 - 3 is equal to 3.
So, the final simplified expression is: -5x + 3