Question

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

Answer 1

Answer: its 12

Step-by-step explanation

add 4 to -4 and 20

then you have 2x = 24

then divide both sides by 2

and you get x = 12

Answer 2

a) Add 4 to both sides, and then divide by 2. The solution is
`x=12`.

Explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

`2x-4=20`

We need to determine the steps in order to solve for
`x`.

Solving for
`x`.

Step 1: Adding 4 both sides.

`2x-4+4=20+4`

`2x=24`

Step 2: Dividing both sides by 2.

`(2x)/(2)=(24)/(2)`

∴
`x=12`

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12