1

Problem

If 2(c + 4) - 3 = 3(2c - 1), what is the value of c?

2

Step

The given equation

2(c + 4) - 3 = 3(2c - 1)

3

Step

let’s first distribute the numbers outside the parentheses:

2 × c + 2 × 4 − 3 = 3 × 2c − 3 × 1

4

Step

Simplify each side:

2c + 8 − 3 = 6c − 3

5

Step

Combine like terms:

2c + 5 = 6c − 3

6

Step

To isolate the variable terms on one side, let’s subtract 2c from both sides:

2c − 2c + 5 = 6c − 2c − 3

5 = 4c - 3

7

Step

Add 3 to both sides:

5 + 3 = 4c − 3 + 3

8 = 4c

8

Step

Finally, to solve for c, divide both sides by 4:

\$ 8/4 = (4c)/4 \$

9

Step

After simplification

2 = c

⇒ c = 2

10

Solution

So, the solution to the equation is c = 2.

11

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

12

Choice-A

If we substitute c = 5 into the original equation, the left side does not equal the right side, so c = 5 is not a solution

Wrong 5

13

Choice-B

Substituting c = 4 into the equation, we find that the equation is not balanced, so c = 4 is incorrect

Wrong 4

14

Choice-C

Plugging in c = 3 into the equation, it doesn’t hold true, so c = 3 cannot be a possible solution

Wrong 3

15

Choice-D

This step is correct, as we have verified that c equals 2

Correct 2

16

Step

Option

D

17

Sumup

Please Summarize Choices