Chapter 12.2, Problem 35STP

To determine

To find: the solution of the given equation as per the given option.

Answer to Problem 35STP

F. $x=-4$ .

Explanation of Solution

Given:

The given equation is $\left(-4x-6\right)+\left(6x+1\right)=-13$ .

The given options are:

F. $-4$

G. $5$

H. $6$

I. $9$

Calculation:

As the given equation is $\left(-4x-6\right)+\left(6x+1\right)=-13$ .

Now, solve the given equation so that to find the value of x . Therefore,

  $\begin{array}{l}\left(-4x-6\right)+\left(6x+1\right)=-13\left\{\text{given equation}\right\}\\ -4x-6+6x+1=-13\left\{\text{open the parenthesis}\right\}\\ 2x-5=-13\left\{\text{simplify the like terms}\right\}\\ 2x=-13+5\left\{\text{add 5 on both the sides}\right\}\\ \therefore 2x=-8\\ \therefore x=\frac{-8}{2}=-4\end{array}$

Thus, the value of x in the given equation is $x=-4$

Hence the correct option is (F).