Question

An equation is shown below:

6(3x − 7) = 2

Which of the following correctly shows the beginning steps to solve this equation?


Step 1: 9x − 1 = 2
Step 2: 9x = 3


Step 1: 9x − 7 = 2
Step 2: 9x = 9


Step 1: 18x − 7 = 2
Step 2: 18x = 9


Step 1: 18x − 42 = 2
Step 2: 18x = 44

Answer 1

The beginning steps to solve the equation 6(3x - 7) = 2 is
Step 1: 18x - 42 = 2
Step 2: 18x = 44

Answer 2

(D) Step 1:
`18x-42=2`

Step 2:
`18x=44`

Explanation:

The given equation is:

`6(3x-7)=2`

Now, Step 1. Simplifying the above equation, we get

`18x-42=2`

Step 2. Further simplifying the equation by adding 42 on both sides, we get

`18x-42+42=2+42`

=
`18x=44`

Thus, from all the option, Option D is correct as it is equivalent to the above steps.