Question

Question 8 (2 points)

Answer 1

The Answer is not false but true

Answer 2

Answer:

$\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if $x=\frac{1}{2}$ 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

$\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}$

So, we get  $\mathbf{x=\frac{1}{2}}$

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

The statement is true.

Option A is correct.