Question

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

Answer 1

No real solution

Explanation:

First, we distribute all values in the equation. This gives us 6x+6-5x=8+2x-2. Then, we can just add like terms, giving us x+6=6+2x. Now to get x alone, we subtract 6 from each side making it x=2x. Now for example, if we made x=1, that would make the equation 1=2, which is not true. Because of this, the value of x has no real solution.

Answer 2

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

We move all terms to the left:

6(x + 1) -5x -(8 + 2(x - 1)) = 0

We add all the numbers and all the variables.

-5x + 6(x + 1) -(8 + 2(x - 1)) = 0

Multiply

-5x + 6x -(8 + 2(x - 1)) + 6 = 0

Calculations in parentheses: -(8 + 2(x - 1)), so:

8 + 2(x - 1)

DeterminingTheFunctionDomain

2(x - 1) + 8

Multiply

2x - 2 + 8

We add all the numbers and all the variables.

2x + 6

Back to the equation:

-(2x + 6)

We add all the numbers and all the variables.

x-(2x + 6) + 6 = 0

We get rid of the parentheses.

x - 2x - 6 + 6 = 0

We add all the numbers and all the variables.

-x = 0

x = 0/-1

x = 0

Therefore, this exercise has no real solution.