Question

Question 8 (2 points)

\large x=\frac{1}{2}



is the solution to the equation:



\large 4x+12-8x=-1+2x+10.

True
False

Answer 1

The Answer is not false but true

Answer 2

`\mathbf{x=(1)/(2)}` is the solution to the equation:
`4x+12-8x=-1+2x+10`

The statement is true.

Option A is correct.

Explanation:

We need to determine if
`x=(1)/(2)` is the solution to the equation:
`4x+12-8x=-1+2x+10`

Solving the equation first to find value of x

`4x+12-8x=-1+2x+10`

Combining like terms:

`4x-8x+12=2x+10-1\\-4x+12=2x+9`

Subtracting 2x on both sides

`-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9`

Now, subtracting 12 on both sides

`-6x+12-12=9-12\\-6x=-3\\`

Divide both sides by -6

`(-6x)/(-6)=(-3)/(-6)\\x=(1)/(2)`

So, we get
`\mathbf{x=(1)/(2)}`

Therefore we can say that
`\mathbf{x=(1)/(2)}` is the solution to the equation:
`4x+12-8x=-1+2x+10`

The statement is true.

Option A is correct.