Question

Which of the following equations is equivalent to 4[x + 2(3x – 7)] = 22x – 65?

Answer 1

what are the answers that came wiith the question?

Answer 2

Answer:

$28x-56=22x-65$ is equivalent to the given equation.

Step-by-step explanation:

The options are:

1. 4 [ x + 2 ( 3 x - 7 ) ]
2. x + 6x - 14
3. 4 ( 7x - 14 )
4. 28x – 56 = 22x – 65

We can solve the equation, and compare to each option. First we have to eliminate those grouping signs by multiplying what in front of them with what's inside of the grouping signs.

$4[x + 2(3x-7)] = 22x-65\\4[x+6x-14]=22x-65\\4x+24x-56=22x-65\\28x-22x=-65+56\\6x=-9\\x=\frac{-9}{6} =\frac{-3}{2}$

From this process we can see that this part: $28x-22x=-65+56$ is the same as the fourth option if we place terms in the same position.

Therefore, the answer is $28x-56=22x-65$