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:

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

Step-by-step 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.

$\frac{2x}{2}=\frac{24}{2}$

∴ $x=12$

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