1

Problem

Solving the Proportion \$(2x+1):3= (x+2):3\$.

2

Step

Given Proportion

\$(2x+1):3 = (x+2):3\$

3

Hint

First, convert the provided proportion into a fraction

4

Step

To solve the proportion, begin by cross-multiplying

(2x+1)3 = (x+2)3
⇒ 6x+3 = 3x+6

5

Step

Move the variables to one side and the constants to the other side carefully

\$6x−3x=6−3\$

6

Step

Solve for x by dividing both sides by 3:

\$(3x)/3 = 3/3\$
x = 1

Choices

7

Choice-A

x = 3, the left side is 7/3 and the right side is 5/3, so this is also incorrect.

Wrong 3

8

Choice-B

Substitute x = 2, the left side becomes 5/3 and the right side becomes 4/3, which are not equal, so it is incorrect.

Wrong 2

9

Choice-C

This is incorrect because the solution is x = 1, not 4

Wrong 4

10

Choice-D

It is the correct solution to the given proportion

Correct 1

11

Answer

Option

D

12

Sumup

Please summarize choices