Step 1. The expression that we have is:
[tex]8-12x-10+7x[/tex]Required: Simplify the expression.
Step 2. To simplify, we need to combine like terms.
Like terms are the ones that have the same variable, in this case -12x and 7x are like terms, and when we combine them -12x+7x the result is -5x:
[tex]8-12x-10+7x=8-10-5x[/tex]Step 3. The independent terms 8 and -10 are also like terms and we can combine them: 8-10 is equal to -2. Therefore, the final result is:
[tex]-2-5x[/tex]We can put the variable term first:
[tex]-5x-2[/tex]Answer:
[tex]\boxed{-5x-2}[/tex]
