Question

Solve 8x − 2(x + 1) = 7x + 8A. x = 6B. x = −6C. x = 10D. x = −10

Answer 1

Let's copy the equation:

$8x-2(x+1)=7x+8$

Now, it is best for us to get rid of the parenthesis, which can be done by applying the distributive property:

$\begin{gathered} 8x-2(x+1)=7x+8 \\ 8x-2x-2=7x+8 \\ 6x-2=7x+8 \end{gathered}$

Now, let's put the terms with "x" to the left and the terms without "x" to the right:

$\begin{gathered} 6x-7x=8+2 \\ -x=10 \end{gathered}$

Now, we can pass the sign by changing it in both sides:

$x=-10$

Thus, the solution is x = -10, which is alternative D.