Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.
1 answer:
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Answer:
a) Add 4 to both sides, and then divide by 2. The solution is .
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:
We need to determine the steps in order to solve for .
Solving for .
Step 1: Adding 4 both sides.
Step 2: Dividing both sides by 2.
∴
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12