Question

- Which of the following is equivalent to 5x - 19? A 704 - 2x) + 9(x - 1) ( 8 6x - (x - 11) + 8 B - © 10 - 3(x + 3) - 2x - 0 -3x + 4(2x - 6) + 5

Answer 1

Given:

There are given that the equation,

$5x-19$

Explanation:

We need to solve all the given options for the equation and matched their result with the given equation.

So,

From the option (A):

$\begin{gathered} 7\left(4-2x\right)+9\left(x-1\right)=28-14x+9x-9 \\ =28-5x-9 \\ =-5x+19 \end{gathered}$

Hence, the option A is incorrect.

Now,

From the option B:

$\begin{gathered} 6x-\left(x-11\right)+8=6x-x+11+8 \\ =5x+19 \end{gathered}$

Hence, option B is also incorrect.

Now,

From option C:

$\begin{gathered} 10-3\left(x+3\right)-2x=10-3x-9-2x \\ =-5x-1 \end{gathered}$

Hence, option C is also incorrect.

Now,

From option D:

$\begin{gathered} -3x+4\left(2x-6\right)+5=-3x+8x-24+5 \\ =5x-19 \end{gathered}$

Final answer:

Hence, the correct option is D.