Simplify each exression 6(x + 1) - 5(x + 2)​

x - 4

Step-by-step explanation:

6(x + 1) - 5(x + 2) ← distribute parenthesis

= 6x + 6 - 5x - 10 ← collect like terms

= x - 4

x - 4

Step-by-step explanation:

1. First we expand, 6x + 6 - 5x + 10

2. Now that we have collected like terms we just have to simplify it

3. So bring + 6 to the very right next to ten, which will become the opposite, - 6

4. Now it's, 6x - 5x - 10 - 6

5. Now since this is more clear we can directly solve

6. x - 4

lo.lll

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!