Question

-7(6-4x)-2(__ x + 8) = 18x-58 ( fill in the blank)

Answer 1

We have an expression and we have to fill the blank.

We will call this value C in order to solve the expression:

`\begin{gathered} -7\left(6-4x\right)-2\left(Cx+8\right)=18x-58 \\ -42+28x-2Cx-16=18x-58 \\ (28-2C)x-58=18x-58 \end{gathered}`

Now, we know that the expression (28-2C) has to be equal to 18, so we have:

`\begin{gathered} 28-2C=18 \\ 28-18=2C \\ 10=2C \\ C=(10)/(2) \\ C=5 \end{gathered}`

Then, the final expression has to be:

-7*(6-4x) - 2*(5x + 8) = 18x-58

`-7\left(6-4x\right)-2\left(5x+8\right)=18x-58`