What is the value of x in the equation 6(x + 1) - 5x = 8 + 2(x - 1)?
A100
12

x=0

Step-by-step explanation:

First, we distribute on both sides

6x+6-5x=8+2x-2

simplify

x+6=2x+6

subtract x from both sides

6=x+6

subtract 6 from both sides

x=0

(plz give brianliest ty)

x = 0

Step-by-step explanation:

6 ( x + 1 ) -5x = 8 + 2 ( x - 1 ) (Distribute)

6x + 6 - 5x = 8 + 2x - 2 (Rearrange expression)

6x - 2x - 5x = 8 - 6 - 2 (Combine like terms)

-1x = 0 (Divide)

x = 0

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!