Answer:
x = 5
Explanation:
x -2(x+1) + 3(x-2) + 2(x-6) = 0
here, we need to distribute the numbers on the outside of the parentheses to the inside numbers.
As you may know, when two numbers are in parentheses, they are to be multiplied--and it is the same idea here.
When we have a number, say 3, multiplied by parentheses, say (x - 2), we multiply all inside numbers by the outside number, which is called distributing.
We know that 3(x) = 3x, and that 3(-2) = -6, so we distribute
3(x - 2) to be 3x - 6
let's do that for all of our parentheses:
x -2(x+1) + 3(x-2) + 2(x-6) = 0
-2( x + 1 )
-2x - 2
3(x - 2)
3x - 6
2( x - 6)
2x - 12
Now, let's rewrite our problem:
x -2(x+1) + 3(x-2) + 2(x-6) = 0
x - 2x - 2 + 3x -6 + 2x - 12 = 0
First, we should combine like terms:
x - 2x + 3x + 2x - 2 - 6 - 12 = 0
(x - 2x = -x; -x + 3x = 2x; 2x + 2x = 4x)
( - 2 - 6 = -8; -8 - 12 = -20
So, we are left with:
4x - 20 = 0
At this point, we want to get x alone (so that we can find what "x" is)
4x - 20 = 0
+ 20 + 20 ( add 20 to both sides of the equation to isolate x )
4x = 20
÷ 4 ÷ 4 (divide both sides by 4 to find "1"x)
x = 5
So, we know that the value of x is 5, or x = 5
hope this helps! let me know if you need clarification on anything :)