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

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

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

Divide both sides by the number connected to the variable

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

7

Step

Divide both sides by the number connected to the variable

x=1

8

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

9

Choice-A

This is incorrect because the solution is x = 1, not 3

Wrong 3

10

Choice-B

This is incorrect because the solution is x = 1, not 2

Wrong 2

11

Choice-C

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

Wrong 4

12

Choice-D

It is the correct solution to the given proportion

Correct 1

13

Answer

Option

D

14

Sumup

Please summarize choices